## 13×10104+419

### c88

name 名前 Robert Backstrom March 12, 2008 05:06:57 UTC 2008 年 3 月 12 日 (水) 14 時 6 分 57 秒 (日本時間) `3000458199901250301274157335435457953713106459866806768401390259674963419497493078976657<88>` ```1079735338858603736315862602698429<34> 2778883020604898417243505418183286377453379744603666533<55>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 3000458199901250301274157335435457953713106459866806768401390259674963419497493078976657 (88 digits) Using B1=774000, B2=582802457, polynomial Dickson(3), sigma=1309685775 Step 1 took 6735ms Step 2 took 4671ms ********** Factor found in step 2: 1079735338858603736315862602698429 Found probable prime factor of 34 digits: 1079735338858603736315862602698429 Probable prime cofactor 2778883020604898417243505418183286377453379744603666533 has 55 digits```

## 13×10112+419

### c110

name 名前 Sinkiti Sibata March 12, 2008 06:30:37 UTC 2008 年 3 月 12 日 (水) 15 時 30 分 37 秒 (日本時間) `47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907<110>` ```8572768217428917273838004418010090479942244487<46> 5488344773042031843138651813870233083606331551067207445911659661<64>``` ```Number: 14449_112 N=47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907 ( 110 digits) SNFS difficulty: 113 digits. Divisors found: r1=8572768217428917273838004418010090479942244487 (pp46) r2=5488344773042031843138651813870233083606331551067207445911659661 (pp64) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 1.81 hours. Scaled time: 1.20 units (timescale=0.666). Factorization parameters were as follows: name: 14449_112 n: 47050307636626854867897213174086138255519363011219688744118711545421643141512848353239232718060079623597538907 m: 10000000000000000000000 c5: 1300 c0: 41 skew: 0.5 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 500001) Primes: RFBsize:49098, AFBsize:64309, largePrimes:2003845 encountered Relations: rels:2009047, finalFF:176679 Max relations in full relation-set: 28 Initial matrix: 113474 x 176679 with sparse part having weight 13565947. Pruned matrix : 92176 x 92807 with weight 4749967. Total sieving time: 1.60 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,113,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 1.81 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10124+419

### c119

name 名前 Sinkiti Sibata March 12, 2008 11:11:44 UTC 2008 年 3 月 12 日 (水) 20 時 11 分 44 秒 (日本時間) `76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937<119>` ```5175757663323323463917452916699<31> 87280545998199448610509108990088503350991<41> 169200056742758350400056102242352593752657930093<48>``` ```Number: 14449_124 N=76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937 ( 119 digits) SNFS difficulty: 126 digits. Divisors found: r1=5175757663323323463917452916699 (pp31) r2=87280545998199448610509108990088503350991 (pp41) r3=169200056742758350400056102242352593752657930093 (pp48) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 4.26 hours. Scaled time: 2.88 units (timescale=0.675). Factorization parameters were as follows: name: 14449_124 n: 76434933586862128430679100866478166361220912833013776514837490511778917246249249614738536670835310352288608901847549937 m: 10000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 750001) Primes: RFBsize:49098, AFBsize:63919, largePrimes:2203916 encountered Relations: rels:2274248, finalFF:176608 Max relations in full relation-set: 28 Initial matrix: 113082 x 176608 with sparse part having weight 17252242. Pruned matrix : 102053 x 102682 with weight 7545808. Total sieving time: 3.90 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.21 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 4.26 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10125+419

### c113

name 名前 Sinkiti Sibata March 12, 2008 06:42:42 UTC 2008 年 3 月 12 日 (水) 15 時 42 分 42 秒 (日本時間) `35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793<113>` ```381289435910446427225910525930919899803<39> 94062069350457232819353561152321954296011723467198330678707421280406128331<74>``` ```Number: 14449_125 N=35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793 ( 113 digits) SNFS difficulty: 126 digits. Divisors found: r1=381289435910446427225910525930919899803 (pp39) r2=94062069350457232819353561152321954296011723467198330678707421280406128331 (pp74) Version: GGNFS-0.77.1-20060513-k8 Total time: 2.79 hours. Scaled time: 5.59 units (timescale=2.001). Factorization parameters were as follows: name: 14449_125 n: 35864873363205130270954386390806827723737536465615384529439091825776660100342021248266317605381766728041679618793 m: 10000000000000000000000000 c5: 13 c0: 41 skew: 1.26 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 650001) Primes: RFBsize:49098, AFBsize:64124, largePrimes:2267632 encountered Relations: rels:2464267, finalFF:301761 Max relations in full relation-set: 28 Initial matrix: 113289 x 301761 with sparse part having weight 29886474. Pruned matrix : 84010 x 84640 with weight 7199058. Total sieving time: 2.63 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.04 hours. Time per square root: 0.04 hours. Prototype def-par.txt line would be: snfs,126,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 2.79 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10126+419

### c104

name 名前 Sinkiti Sibata March 12, 2008 09:26:08 UTC 2008 年 3 月 12 日 (水) 18 時 26 分 8 秒 (日本時間) `30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597<104>` ```904847641670711020711019082822834496093841<42> 34097513719109247682145677399500333906397624571462875526708317<62>``` ```Number: 14449_126 N=30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597 ( 104 digits) SNFS difficulty: 127 digits. Divisors found: r1=904847641670711020711019082822834496093841 (pp42) r2=34097513719109247682145677399500333906397624571462875526708317 (pp62) Version: GGNFS-0.77.1-20060513-k8 Total time: 4.69 hours. Scaled time: 9.36 units (timescale=1.995). Factorization parameters were as follows: name: 14449_126 n: 30853054875570717616725973948709528454911957351445666387478574633512858115600884689245414260005067175597 m: 10000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 600000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 46/46 Sieved algebraic special-q in [400000, 850001) Primes: RFBsize:49098, AFBsize:63954, largePrimes:2306923 encountered Relations: rels:2474799, finalFF:204406 Max relations in full relation-set: 28 Initial matrix: 113119 x 204406 with sparse part having weight 22772454. Pruned matrix : 98877 x 99506 with weight 9226871. Total sieving time: 4.48 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.07 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,127,5,0,0,0,0,0,0,0,0,600000,800000,25,25,46,46,2.4,2.4,50000 total time: 4.69 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10128+419

### c129

name 名前 Robert Backstrom March 13, 2008 04:22:44 UTC 2008 年 3 月 13 日 (木) 13 時 22 分 44 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<129>` ```879276544604910226814961729129827481250658463712668818370122309<63> 164276467205602984226476216588935499461222868575837590383237340461<66>``` ```Number: n N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 129 digits) SNFS difficulty: 129 digits. Divisors found: Thu Mar 13 15:18:03 2008 prp63 factor: 879276544604910226814961729129827481250658463712668818370122309 Thu Mar 13 15:18:03 2008 prp66 factor: 164276467205602984226476216588935499461222868575837590383237340461 Thu Mar 13 15:18:03 2008 elapsed time 00:11:24 (Msieve 1.33) Version: GGNFS-0.77.1-20050930-k8 Total time: 3.16 hours. Scaled time: 2.64 units (timescale=0.837). Factorization parameters were as follows: name: KA_1_4_127_9 n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 type: snfs deg: 5 c5: 13000 c0: 41 skew: 0.32 m: 10000000000000000000000000 rlim: 800000 alim: 800000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved special-q in [100000, 650833) Primes: RFBsize:63951, AFBsize:63689, largePrimes:1559983 encountered Relations: rels:1533763, finalFF:136673 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 3.08 hours. Total relation processing time: 0.07 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,129,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.5,2.5,50000 total time: 3.16 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).```

## 13×10129+419

### c105

name 名前 Sinkiti Sibata March 12, 2008 21:37:28 UTC 2008 年 3 月 13 日 (木) 6 時 37 分 28 秒 (日本時間) `351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127<105>` ```403320046055777109046610052427009389053<39> 872702249677073427449981915399492394603014246802684484605353730059<66>``` ```Number: 14449_129 N=351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127 ( 105 digits) SNFS difficulty: 131 digits. Divisors found: r1=403320046055777109046610052427009389053 (pp39) r2=872702249677073427449981915399492394603014246802684484605353730059 (pp66) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 6.68 hours. Scaled time: 4.51 units (timescale=0.675). Factorization parameters were as follows: name: 14449_129 n: 351978311532737548449964405792590044432251798869824835323670785490076165265575416679098233153448271644127 m: 100000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1100001) Primes: RFBsize:63951, AFBsize:63919, largePrimes:1499538 encountered Relations: rels:1486985, finalFF:157544 Max relations in full relation-set: 28 Initial matrix: 127935 x 157544 with sparse part having weight 12577546. Pruned matrix : 119718 x 120421 with weight 7910460. Total sieving time: 6.28 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.26 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,131,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 6.68 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10131+419

### c115

name 名前 Sinkiti Sibata March 12, 2008 13:02:31 UTC 2008 年 3 月 12 日 (水) 22 時 2 分 31 秒 (日本時間) `1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547<115>` ```2249090272651913721819392572240308879238027<43> 617008271333123742480108012577387394787114276114628954373956069679259761<72>``` ```Number: 14449_131 N=1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547 ( 115 digits) SNFS difficulty: 132 digits. Divisors found: r1=2249090272651913721819392572240308879238027 (pp43) r2=617008271333123742480108012577387394787114276114628954373956069679259761 (pp72) Version: GGNFS-0.77.1-20060513-k8 Total time: 6.47 hours. Scaled time: 12.90 units (timescale=1.995). Factorization parameters were as follows: name: 14449_131 n: 1387707301201101239142370408651903318062058439543780296573801125314505866008428422395864867644533736113263082131547 m: 100000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 800000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 44/44 Sieved algebraic special-q in [400000, 1250001) Primes: RFBsize:63951, AFBsize:63954, largePrimes:1541842 encountered Relations: rels:1537508, finalFF:155468 Max relations in full relation-set: 28 Initial matrix: 127972 x 155468 with sparse part having weight 14753604. Pruned matrix : 121290 x 121993 with weight 9959479. Total sieving time: 6.24 hours. Total relation processing time: 0.06 hours. Matrix solve time: 0.11 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,132,5,0,0,0,0,0,0,0,0,800000,800000,25,25,44,44,2.2,2.2,50000 total time: 6.47 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10133+419

### c104

name 名前 Sinkiti Sibata March 13, 2008 10:37:28 UTC 2008 年 3 月 13 日 (木) 19 時 37 分 28 秒 (日本時間) `64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847<104>` ```517649884092539390536611188644180047608897<42> 123775280010902446150077540889220597396514583675408960720813351<63>``` ```Number: 14449_133 N=64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847 ( 104 digits) SNFS difficulty: 134 digits. Divisors found: r1=517649884092539390536611188644180047608897 (pp42) r2=123775280010902446150077540889220597396514583675408960720813351 (pp63) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 12.38 hours. Scaled time: 8.34 units (timescale=0.674). Factorization parameters were as follows: name: 14449_133 n: 64072259351165258960611191479962903530231838357246417129235599200904516844792796123931176281428583983847 m: 100000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 1675001) Primes: RFBsize:78498, AFBsize:63689, largePrimes:1620424 encountered Relations: rels:1639559, finalFF:180627 Max relations in full relation-set: 28 Initial matrix: 142254 x 180627 with sparse part having weight 17980539. Pruned matrix : 131501 x 132276 with weight 11572853. Total sieving time: 11.67 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.53 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,134,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 12.38 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10138+419

### c119

name 名前 Sinkiti Sibata March 13, 2008 13:49:40 UTC 2008 年 3 月 13 日 (木) 22 時 49 分 40 秒 (日本時間) `42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003<119>` ```39275505097585155078710771613618699661<38> 1089499611449474155941188972488893793360282827843797035637321410126382085780847823<82>``` ```Number: 14449_138 N=42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003 ( 119 digits) SNFS difficulty: 139 digits. Divisors found: r1=39275505097585155078710771613618699661 (pp38) r2=1089499611449474155941188972488893793360282827843797035637321410126382085780847823 (pp82) Version: GGNFS-0.77.1-20060513-k8 Total time: 19.87 hours. Scaled time: 39.73 units (timescale=1.999). Factorization parameters were as follows: name: 14449_138 n: 42790647543300868000531012460873380607706485262150894592544299144950220581224389005057327334131687329290331967382688003 m: 1000000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1000000/800000 Large primes per side: 3 Large prime bits: 25/25 Max factor residue bits: 43/43 Sieved algebraic special-q in [400000, 3175001) Primes: RFBsize:78498, AFBsize:63689, largePrimes:1805783 encountered Relations: rels:1896587, finalFF:166064 Max relations in full relation-set: 28 Initial matrix: 142254 x 166064 with sparse part having weight 21301289. Pruned matrix : 137347 x 138122 with weight 16677403. Total sieving time: 19.49 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.19 hours. Time per square root: 0.07 hours. Prototype def-par.txt line would be: snfs,139,5,0,0,0,0,0,0,0,0,1000000,800000,25,25,43,43,2.3,2.3,75000 total time: 19.87 hours. --------- CPU info (if available) ----------``` ```(上の枠に貼り付けた素因数分解ソフトウェアの出力結果に実行環境の情報が含まれていない場合は、 Core 2 Duo E6300 1.86GHz, Windows Vista)```

## 13×10139+419

### c136

name 名前 Sinkiti Sibata March 13, 2008 22:11:05 UTC 2008 年 3 月 14 日 (金) 7 時 11 分 5 秒 (日本時間) `1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677<136>` ```1080444914227488251714735602663923887<37> 310581946039662137936555730848539967041553081<45> 5947896926520727366907749778159525455328262786721888891<55>``` ```Number: 14449_139 N=1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677 ( 136 digits) SNFS difficulty: 141 digits. Divisors found: r1=1080444914227488251714735602663923887 (pp37) r2=310581946039662137936555730848539967041553081 (pp45) r3=5947896926520727366907749778159525455328262786721888891 (pp55) Version: GGNFS-0.77.1-20060513-k8 Total time: 14.24 hours. Scaled time: 28.50 units (timescale=2.001). Factorization parameters were as follows: name: 14449_139 n: 1995916048700351588288578754241321603488247125113229852762808407412525140865613437120967865751615924339428553882056714722183839221285677 m: 10000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 2150001) Primes: RFBsize:100021, AFBsize:100074, largePrimes:2804952 encountered Relations: rels:2798715, finalFF:256766 Max relations in full relation-set: 28 Initial matrix: 200160 x 256766 with sparse part having weight 26772641. Pruned matrix : 184200 x 185264 with weight 17454800. Total sieving time: 13.62 hours. Total relation processing time: 0.12 hours. Matrix solve time: 0.42 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,141,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 14.24 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10143+419

### c124

name 名前 Sinkiti Sibata March 13, 2008 03:23:23 UTC 2008 年 3 月 13 日 (木) 12 時 23 分 23 秒 (日本時間) `7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687<124>` ```468058260349480289619458523204589<33> 4838491154143931941878764558030793391<37> 3207235198502778015162165152178878034108309665144891213<55>``` ```Number: 14449_143 N=7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687 ( 124 digits) SNFS difficulty: 144 digits. Divisors found: r1=468058260349480289619458523204589 (pp33) r2=4838491154143931941878764558030793391 (pp37) r3=3207235198502778015162165152178878034108309665144891213 (pp55) Version: GGNFS-0.77.1-20060513-k8 Total time: 26.76 hours. Scaled time: 53.26 units (timescale=1.990). Factorization parameters were as follows: name: 14449_143 n: 7263411930756334431054815675240590460026383859273092312980615738433171499794833346952595861772049365179133319212109264595687 m: 10000000000000000000000000000 c5: 13000 c0: 41 skew: 0.32 type: snfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [650000, 3750001) Primes: RFBsize:100021, AFBsize:99689, largePrimes:3101893 encountered Relations: rels:3216219, finalFF:250113 Max relations in full relation-set: 28 Initial matrix: 199777 x 250113 with sparse part having weight 32911341. Pruned matrix : 187996 x 189058 with weight 23930321. Total sieving time: 26.00 hours. Total relation processing time: 0.17 hours. Matrix solve time: 0.49 hours. Time per square root: 0.10 hours. Prototype def-par.txt line would be: snfs,144,5,0,0,0,0,0,0,0,0,1300000,1300000,26,26,45,45,2.3,2.3,100000 total time: 26.76 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10144+419

### c142

name 名前 Sinkiti Sibata March 14, 2008 22:15:31 UTC 2008 年 3 月 15 日 (土) 7 時 15 分 31 秒 (日本時間) `4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491<142>` ```383015513599750490805951630014399<33> 5624483396558590000322516765930782632188359<43> 1977890027058051288896753962852997307409954782630180176907476871251<67>``` ```Number: 14449_144 N=4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491 ( 142 digits) SNFS difficulty: 146 digits. Divisors found: r1=383015513599750490805951630014399 (pp33) r2=5624483396558590000322516765930782632188359 (pp43) r3=1977890027058051288896753962852997307409954782630180176907476871251 (pp67) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 29.36 hours. Scaled time: 19.79 units (timescale=0.674). Factorization parameters were as follows: name: 14449_144 n: 4260898066207800721075057358243198951163552933464437889216650278597181252048508685676827269747623729924614880367092756473287446738774172402491 m: 100000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 1500000/1500000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 45/45 Sieved algebraic special-q in [750000, 3550001) Primes: RFBsize:114155, AFBsize:114263, largePrimes:2973559 encountered Relations: rels:2997988, finalFF:273808 Max relations in full relation-set: 28 Initial matrix: 228483 x 273808 with sparse part having weight 31696103. Pruned matrix : 215545 x 216751 with weight 23512675. Total sieving time: 27.25 hours. Total relation processing time: 0.22 hours. Matrix solve time: 1.78 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,146,5,0,0,0,0,0,0,0,0,1500000,1500000,26,26,45,45,2.3,2.3,100000 total time: 29.36 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10146+419

### c114

name 名前 Jo Yeong Uk March 12, 2008 07:08:09 UTC 2008 年 3 月 12 日 (水) 16 時 8 分 9 秒 (日本時間) `128432446860999287049550614446702435873351991609326522123349572970349339730767295398135273683258945917280586754669<114>` ```77842537158874070251175271923<29> 1649900575553862884781770255109051972716668375312218449809275241329788226651058294303<85>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 128432446860999287049550614446702435873351991609326522123349572970349339730767295398135273683258945917280586754669 (114 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1275334446 Step 1 took 5500ms Step 2 took 3784ms ********** Factor found in step 2: 77842537158874070251175271923 Found probable prime factor of 29 digits: 77842537158874070251175271923 Probable prime cofactor 1649900575553862884781770255109051972716668375312218449809275241329788226651058294303 has 85 digits``` `Core 2 Quad Q6600`

## 13×10149+419

### c148

name 名前 Sinkiti Sibata March 14, 2008 12:32:07 UTC 2008 年 3 月 14 日 (金) 21 時 32 分 7 秒 (日本時間) `8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497<148>` ```137347660736329540541751855501034585413185542247087385476267638114996691<72> 61862954058280063245229953724726901319795857549507692379899427183521908512267<77>``` ```Number: 14449_149 N=8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497 ( 148 digits) SNFS difficulty: 151 digits. Divisors found: r1=137347660736329540541751855501034585413185542247087385476267638114996691 (pp72) r2=61862954058280063245229953724726901319795857549507692379899427183521908512267 (pp77) Version: GGNFS-0.77.1-20060513-k8 Total time: 25.99 hours. Scaled time: 50.86 units (timescale=1.957). Factorization parameters were as follows: name: 14449_149 n: 8496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908496732026143790849673202614379084967320261437908497 m: 1000000000000000000000000000000 c5: 13 c0: 410 skew: 1.99 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2100001) Primes: RFBsize:176302, AFBsize:175984, largePrimes:5486687 encountered Relations: rels:5319822, finalFF:408667 Max relations in full relation-set: 28 Initial matrix: 352351 x 408667 with sparse part having weight 36707080. Pruned matrix : 328589 x 330414 with weight 26026219. Total sieving time: 24.40 hours. Total relation processing time: 0.13 hours. Matrix solve time: 1.30 hours. Time per square root: 0.16 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 25.99 hours. --------- CPU info (if available) ----------``` `Core 2 Duo E6300 1.86GHz, Windows Vista)`

## 13×10150+419

### c116

name 名前 Sinkiti Sibata March 26, 2008 22:10:50 UTC 2008 年 3 月 27 日 (木) 7 時 10 分 50 秒 (日本時間) `35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019<116>` ```5273931011586111902421401925826174831<37> 6731010863188734060301094219283696900836548322318543641341967238597466709527349<79>``` ```Number: 14449_150 N=35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019 ( 116 digits) SNFS difficulty: 151 digits. Divisors found: r1=5273931011586111902421401925826174831 (pp37) r2=6731010863188734060301094219283696900836548322318543641341967238597466709527349 (pp79) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 30.51 hours. Scaled time: 20.60 units (timescale=0.675). Factorization parameters were as follows: name: 14449_150 n: 35498886930694068488696556445873016251270100374402327779600134140366575898525334967906326211481837444518708649953019 m: 1000000000000000000000000000000 c5: 13 c0: 41 skew: 1.26 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2000001) Primes: RFBsize:176302, AFBsize:175494, largePrimes:5501118 encountered Relations: rels:5456438, finalFF:525614 Max relations in full relation-set: 28 Initial matrix: 351863 x 525614 with sparse part having weight 45683886. Pruned matrix : 270724 x 272547 with weight 23014047. Total sieving time: 27.43 hours. Total relation processing time: 0.21 hours. Matrix solve time: 2.73 hours. Time per square root: 0.15 hours. Prototype def-par.txt line would be: snfs,151,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 30.51 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10151+419

### c131

name 名前 Sinkiti Sibata March 30, 2008 09:55:49 UTC 2008 年 3 月 30 日 (日) 18 時 55 分 49 秒 (日本時間) `83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001<131>` ```229099467826487034018759913891943497136975872769<48> 364014806146565362202173145442854541103475488915524144605594396975532850513975154329<84>``` ```Number: 14449_151 N=83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001 ( 131 digits) SNFS difficulty: 152 digits. Divisors found: r1=229099467826487034018759913891943497136975872769 (pp48) r2=364014806146565362202173145442854541103475488915524144605594396975532850513975154329 (pp84) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 44.48 hours. Scaled time: 30.03 units (timescale=0.675). Factorization parameters were as follows: name: 14449_151 n: 83395598369139965832168475774983316304583398622039903708156716045086640578730352860276260120758099296926726038305105508796243567001 m: 1000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1200000, 2400001) Primes: RFBsize:176302, AFBsize:175999, largePrimes:5654496 encountered Relations: rels:5576359, finalFF:468391 Max relations in full relation-set: 28 Initial matrix: 352368 x 468391 with sparse part having weight 45018980. Pruned matrix : 311238 x 313063 with weight 27264252. Total sieving time: 39.99 hours. Total relation processing time: 0.25 hours. Matrix solve time: 4.07 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: snfs,152,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.3,2.3,100000 total time: 44.48 hours. --------- CPU info (if available) ----------``` `Pentium 4 2.4GHz, Windows XP and Cygwin)`

## 13×10153+419

### c124

name 名前 Jo Yeong Uk March 26, 2008 15:13:27 UTC 2008 年 3 月 27 日 (木) 0 時 13 分 27 秒 (日本時間) `6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321<124>` ```64509374281942124842464642137452130975431<41> 99858206116329719031014868769440016414121759112914631130939441108095968385953976191<83>``` ```Number: 14449_153 N=6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321 ( 124 digits) SNFS difficulty: 156 digits. Divisors found: r1=64509374281942124842464642137452130975431 (pp41) r2=99858206116329719031014868769440016414121759112914631130939441108095968385953976191 (pp83) Version: GGNFS-0.77.1-20050930-nocona Total time: 25.95 hours. Scaled time: 47.65 units (timescale=1.836). Factorization parameters were as follows: n: 6441790393481636167681455717217930089359769786440678435578407466998230206440351866658550195452745142800533270101709779963321 m: 10000000000000000000000000000000 c5: 13 c0: 4100 skew: 3.16 type: snfs Factor base limits: 3000000/3000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [1500000, 3100001) Primes: RFBsize:216816, AFBsize:216987, largePrimes:5681241 encountered Relations: rels:5609321, finalFF:505447 Max relations in full relation-set: 28 Initial matrix: 433870 x 505447 with sparse part having weight 43815349. Pruned matrix : 402967 x 405200 with weight 31494206. Total sieving time: 24.96 hours. Total relation processing time: 0.09 hours. Matrix solve time: 0.86 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,3000000,3000000,27,27,48,48,2.3,2.3,100000 total time: 25.95 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)``` `Core 2 Quad Q6600`

## 13×10155+419

### c150

name 名前 Robert Backstrom March 28, 2008 08:50:32 UTC 2008 年 3 月 28 日 (金) 17 時 50 分 32 秒 (日本時間) `121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423<150>` ```454914555226406458961012387411117835014677<42> 266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299<108>``` ```Number: n N=121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423 ( 150 digits) SNFS difficulty: 156 digits. Divisors found: Fri Mar 28 14:54:39 2008 prp42 factor: 454914555226406458961012387411117835014677 Fri Mar 28 14:54:39 2008 prp108 factor: 266899067010205212556633241991383306589388963910132941966984708011973578478898221181824191297352863936423299 Fri Mar 28 14:54:39 2008 elapsed time 00:26:12 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 19.04 hours. Scaled time: 15.96 units (timescale=0.838). Factorization parameters were as follows: name: KA_1_4_154_9 n: 121416270359290357390659745192079138751431661272515363127578519668548525460104621598254669132724514794899433238189675937172497122667885312432549759423 type: snfs deg: 5 c5: 13 c0: 41 skew: 1.26 m: 10000000000000000000000000000000 rlim: 2400000 alim: 2400000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2400000/2400000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1200001) Primes: RFBsize:176302, AFBsize:175494, largePrimes:5415952 encountered Relations: rels:5271524, finalFF:461511 Max relations in full relation-set: 28 Initial matrix: 351863 x 461511 with sparse part having weight 38322948. Pruned matrix : 274203 x 276026 with weight 22148987. Total sieving time: 18.13 hours. Total relation processing time: 0.14 hours. Matrix solve time: 0.77 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,156,5,0,0,0,0,0,0,0,0,2400000,2400000,27,27,48,48,2.5,2.5,100000 total time: 19.04 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).```

## 13×10156+419

### c138

name 名前 Jo Yeong Uk March 14, 2008 08:37:47 UTC 2008 年 3 月 14 日 (金) 17 時 37 分 47 秒 (日本時間) `169794461125561893541938362239634949248439577722682057946496237412965703649459048888782942324108290053842122707174534378963383194044580409<138>` `78240352765175835206467754968382924481389<41>` `2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181<97>` ```GMP-ECM 6.1.3 [powered by GMP 4.2.2] [ECM] Input number is 169794461125561893541938362239634949248439577722682057946496237412965703649459048888782942324108290053842122707174534378963383194044580409 (138 digits) Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=445267077 Step 1 took 7141ms Step 2 took 4358ms ********** Factor found in step 2: 78240352765175835206467754968382924481389 Found probable prime factor of 41 digits: 78240352765175835206467754968382924481389 Composite cofactor 2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 has 97 digits``` `Core 2 Quad Q6600`

### c97

name 名前 Jo Yeong Uk March 15, 2008 15:00:15 UTC 2008 年 3 月 16 日 (日) 0 時 0 分 15 秒 (日本時間) `2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181<97>` ```56811743013055887298662901382398663<35> 38199229693458428198506848714264339346199481273611746416402587<62>``` ```Number: 14449_156 N=2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 ( 97 digits) Divisors found: r1=56811743013055887298662901382398663 (pp35) r2=38199229693458428198506848714264339346199481273611746416402587 (pp62) Version: GGNFS-0.77.1-20050930-nocona Total time: 5.13 hours. Scaled time: 9.54 units (timescale=1.859). Factorization parameters were as follows: name: 14449_156 n: 2170164820641453841771054721472954317615265554044202740819058596701382825101488628052277538541181 m: 1296386468790859477 deg: 5 c5: 592680 c4: 2039452145 c3: -70890504460049 c2: -17771658792168670 c1: 66587067320650168689 c0: 30394714584259330224570 skew: 1379.250 type: gnfs # adj. I(F,S) = 47.320 # E(F1,F2) = 4.478483e-03 # GGNFS version 0.77.1-20050930-nocona polyselect. # Options were: # lcd=1, enumLCD=24, maxS1=58.00000000, seed=1205573568. # maxskew=1500.0 # These parameters should be manually set: rlim: 1300000 alim: 1300000 lpbr: 26 lpba: 26 mfbr: 48 mfba: 48 rlambda: 2.5 alambda: 2.5 qintsize: 50000 type: gnfs Factor base limits: 1300000/1300000 Large primes per side: 3 Large prime bits: 26/26 Max factor residue bits: 48/48 Sieved algebraic special-q in [650000, 1450001) Primes: RFBsize:100021, AFBsize:99767, largePrimes:3951704 encountered Relations: rels:3905347, finalFF:266868 Max relations in full relation-set: 28 Initial matrix: 199871 x 266868 with sparse part having weight 26369457. Pruned matrix : 169463 x 170526 with weight 14580729. Polynomial selection time: 0.28 hours. Total sieving time: 4.61 hours. Total relation processing time: 0.08 hours. Matrix solve time: 0.11 hours. Time per square root: 0.05 hours. Prototype def-par.txt line would be: gnfs,96,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,1300000,1300000,26,26,48,48,2.5,2.5,50000 total time: 5.13 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)``` `Core 2 Quad Q6600`

## 13×10157+419

### c154

name 名前 Robert Backstrom March 28, 2008 08:57:33 UTC 2008 年 3 月 28 日 (金) 17 時 57 分 33 秒 (日本時間) `3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337<154>` ```554967349862577519760631952619203509296695751946839<51> 5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383<103>``` ```Number: n N=3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337 ( 154 digits) SNFS difficulty: 158 digits. Divisors found: Fri Mar 28 15:13:48 2008 prp51 factor: 554967349862577519760631952619203509296695751946839 Fri Mar 28 15:13:48 2008 prp103 factor: 5686597597373431858875045737803935242817252645892081260193915454685731257129233895079087021649744633383 Fri Mar 28 15:13:48 2008 elapsed time 00:45:02 (Msieve 1.33) Version: GGNFS-0.77.1-20051202-k8 Total time: 28.18 hours. Scaled time: 23.73 units (timescale=0.842). Factorization parameters were as follows: name: KA_1_4_156_9 n: 3155875998349234093171169858956618843007307066734639380477265554827276479013424610977593280411720437938484694001408006214648119826184060398611414560726337 type: snfs deg: 5 c5: 1300 c0: 41 skew: 0.50 m: 10000000000000000000000000000000 rlim: 2800000 alim: 2800000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 2800000/2800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [100000, 1700001) Primes: RFBsize:203362, AFBsize:203738, largePrimes:5556469 encountered Relations: rels:5457604, finalFF:504339 Max relations in full relation-set: 28 Initial matrix: 407167 x 504339 with sparse part having weight 41011748. Pruned matrix : 336332 x 338431 with weight 25630672. Total sieving time: 26.88 hours. Total relation processing time: 0.16 hours. Matrix solve time: 1.14 hours. Time per square root: 0.00 hours. Prototype def-par.txt line would be: snfs,158,5,0,0,0,0,0,0,0,0,2800000,2800000,27,27,48,48,2.5,2.5,100000 total time: 28.18 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).```

## 13×10158+419

### c136

name 名前 Jo Yeong Uk March 28, 2008 01:43:29 UTC 2008 年 3 月 28 日 (金) 10 時 43 分 29 秒 (日本時間) `2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401<136>` ```16799381951211795792021653942974259<35> 95310855936913632436908778587893374381<38> 1641177169129370612168524976686946831629697557566826514744860519<64>``` ```Number: 14449_158 N=2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401 ( 136 digits) SNFS difficulty: 161 digits. Divisors found: r1=16799381951211795792021653942974259 (pp35) r2=95310855936913632436908778587893374381 (pp38) r3=1641177169129370612168524976686946831629697557566826514744860519 (pp64) Version: GGNFS-0.77.1-20050930-nocona Total time: 45.46 hours. Scaled time: 84.51 units (timescale=1.859). Factorization parameters were as follows: n: 2627792935900529823600728141082774214194696712267598876097811277856833048373726072482011878352451161589375769614853730389213107897394401 m: 100000000000000000000000000000000 c5: 13 c0: 4100 skew: 3.16 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 4700001) Primes: RFBsize:283146, AFBsize:283233, largePrimes:5900455 encountered Relations: rels:5998416, finalFF:691121 Max relations in full relation-set: 28 Initial matrix: 566446 x 691121 with sparse part having weight 57637285. Pruned matrix : 482715 x 485611 with weight 41998325. Total sieving time: 43.81 hours. Total relation processing time: 0.10 hours. Matrix solve time: 1.49 hours. Time per square root: 0.06 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 45.46 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.92 BogoMIPS (lpj=2406460) Calibrating delay using timer specific routine.. 4810.27 BogoMIPS (lpj=2405136) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405133) Calibrating delay using timer specific routine.. 4810.26 BogoMIPS (lpj=2405131)``` `Core 2 Quad Q6600`

## 13×10159+419

### c158

name 名前 Robert Backstrom March 14, 2008 23:48:24 UTC 2008 年 3 月 15 日 (土) 8 時 48 分 24 秒 (日本時間) `68783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783069<158>` ```323994497004687485543951803426936081<36> 212297027940180242688781043672877820471173117695010579301262769776723616074689965201258808111992813367497457405314499547149<123>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 68783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783068783069 (158 digits) Using B1=404000, B2=258309880, polynomial Dickson(3), sigma=3153970276 Step 1 took 5276ms Step 2 took 2405ms ********** Factor found in step 2: 323994497004687485543951803426936081 Found probable prime factor of 36 digits: 323994497004687485543951803426936081 Probable prime cofactor 212297027940180242688781043672877820471173117695010579301262769776723616074689965201258808111992813367497457405314499547149 has 123 digits```

## 13×10160+419

### c118

name 名前 Sinkiti Sibata April 2, 2008 22:08:05 UTC 2008 年 4 月 3 日 (木) 7 時 8 分 5 秒 (日本時間) `1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709<118>` ```58318421562202336729024884964580815360748989<44> 25065380822971939726203162891930045767767595089719334854800459231611917481<74>``` ```Number: 14449_160 N=1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709 ( 118 digits) SNFS difficulty: 161 digits. Divisors found: r1=58318421562202336729024884964580815360748989 (pp44) r2=25065380822971939726203162891930045767767595089719334854800459231611917481 (pp74) Version: GGNFS-0.77.1-20060513-pentium4 Total time: 78.30 hours. Scaled time: 52.85 units (timescale=0.675). Factorization parameters were as follows: name: 14449_160 n: 1461773445451219721817054132646300865765733841567085507878396932965774862914627039808990861227821796075443086622176709 m: 100000000000000000000000000000000 c5: 13 c0: 41 skew: 1.26 type: snfs Factor base limits: 4000000/4000000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2000000, 3900001) Primes: RFBsize:283146, AFBsize:282373, largePrimes:5738534 encountered Relations: rels:5817356, finalFF:694775 Max relations in full relation-set: 28 Initial matrix: 565586 x 694775 with sparse part having weight 46693987. Pruned matrix : 469450 x 472341 with weight 31381838. Total sieving time: 68.01 hours. Total relation processing time: 0.32 hours. Matrix solve time: 9.75 hours. Time per square root: 0.22 hours. Prototype def-par.txt line would be: snfs,161,5,0,0,0,0,0,0,0,0,4000000,4000000,27,27,48,48,2.3,2.3,100000 total time: 78.30 hours. --------- CPU info (if available) ----------``` ``` Pentium 4 2.4GHz, Windows XP and Cygwin)```

## 13×10164+419

### c159

name 名前 Robert Backstrom March 16, 2008 22:51:52 UTC 2008 年 3 月 17 日 (月) 7 時 51 分 52 秒 (日本時間) `131042587933860588225984757327775514773086150723773413656391617346772657943867201844595788553308981588415593301868999950506222557288039370031910886201709420319<159>` ```310858280205973042295350064207669674079891<42> 421550900452233303155039018641729142102897981293204893760745450029677022449219253781047183543781801689390473334874309<117>``` ```GMP-ECM 6.1.3 [powered by GMP 4.2.1] [ECM] Input number is 131042587933860588225984757327775514773086150723773413656391617346772657943867201844595788553308981588415593301868999950506222557288039370031910886201709420319 (159 digits) Using B1=2924000, B2=4281671950, polynomial Dickson(6), sigma=2470071760 Step 1 took 38360ms Step 2 took 14118ms ********** Factor found in step 2: 310858280205973042295350064207669674079891 Found probable prime factor of 42 digits: 310858280205973042295350064207669674079891 Probable prime cofactor 421550900452233303155039018641729142102897981293204893760745450029677022449219253781047183543781801689390473334874309 has 117 digits```

## 13×10165+419

### c158

name 名前 Robert Backstrom March 31, 2008 19:49:32 UTC 2008 年 4 月 1 日 (火) 4 時 49 分 32 秒 (日本時間) `88502370444086037075644494174607184441343185226590678803718360377036709305951407936896666150425531991663267324657282569707990036893302379561191767746415328921<158>` ```16314950226194202535821847388584579<35> 5424617863803991143762455161408372822546229535063185548695922017790727738160207197999393097074876903892876721001455128856499<124>``` ```GMP-ECM 6.0.1 [powered by GMP 4.1.4] [ECM] Input number is 88502370444086037075644494174607184441343185226590678803718360377036709305951407936896666150425531991663267324657282569707990036893302379561191767746415328921 (158 digits) Using B1=3448000, B2=4897649863, polynomial Dickson(6), sigma=1054026771 Step 1 took 54953ms Step 2 took 29031ms ********** Factor found in step 2: 16314950226194202535821847388584579 Found probable prime factor of 35 digits: 16314950226194202535821847388584579 Probable prime cofactor 5424617863803991143762455161408372822546229535063185548695922017790727738160207197999393097074876903892876721001455128856499 has 124 digits```

## 13×10166+419

### c135

name 名前 Sinkiti Sibata September 25, 2008 22:13:29 UTC 2008 年 9 月 26 日 (金) 7 時 13 分 29 秒 (日本時間) `202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007<135>` ```34142122029434846349176131188868061554306868171903<50> 5929963384398578517109566018319591899379255541236213307569733895313595568330293252969<85>``` ```Number: 14449_166 N=202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007 ( 135 digits) SNFS difficulty: 167 digits. Divisors found: r1=34142122029434846349176131188868061554306868171903 (pp50) r2=5929963384398578517109566018319591899379255541236213307569733895313595568330293252969 (pp85) Version: GGNFS-0.77.1-20050930-nocona Total time: 124.34 hours. Scaled time: 125.46 units (timescale=1.009). Factorization parameters were as follows: name: 14449_166 n: 202461533500216725433746524290492280498300806327822604511062313669686113177108949960264126600183931185734180294575384666460492157130007 m: 1000000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved algebraic special-q in [2750000, 7250001) Primes: RFBsize:380800, AFBsize:379893, largePrimes:6183848 encountered Relations: rels:6450049, finalFF:907035 Max relations in full relation-set: 28 Initial matrix: 760760 x 907035 with sparse part having weight 68399919. Pruned matrix : 645283 x 649150 with weight 50746737. Total sieving time: 120.50 hours. Total relation processing time: 0.12 hours. Matrix solve time: 3.61 hours. Time per square root: 0.12 hours. Prototype def-par.txt line would be: snfs,167,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,48,48,2.6,2.6,100000 total time: 124.34 hours. --------- CPU info (if available) ----------``` `Core 2 Quad Q6600 2.4GHz, Windows Vista and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:49:28 UTC 2008 年 7 月 24 日 (木) 16 時 49 分 28 秒 (日本時間)
403e668 / 2089Jo Yeong UkJuly 24, 2008 07:49:33 UTC 2008 年 7 月 24 日 (木) 16 時 49 分 33 秒 (日本時間)

## 13×10167+419

### c140

name 名前 Serge Batalov September 22, 2008 18:33:32 UTC 2008 年 9 月 23 日 (火) 3 時 33 分 32 秒 (日本時間) `10575488153714185091397046009582798434739843055341525642692804920734214201457798874370694763287755300109417664211267870586842810176122243269<140>` ```255495494090934243398138407064825919513157133359958105353597<60> 41392073043566976748716370443946057031311344967750540425260269537821998787807977<80>``` ```SNFS difficulty: 168 digits. Divisors found: r1=255495494090934243398138407064825919513157133359958105353597 r2=41392073043566976748716370443946057031311344967750540425260269537821998787807977 Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.729). Factorization parameters were as follows: n: 10575488153714185091397046009582798434739843055341525642692804920734214201457798874370694763287755300109417664211267870586842810176122243269 Y1: 1 Y0: -1000000000000000000000000000000000 c5: 1300 c0: 41 skew: 0.5 type: snfs Factor base limits: 5500000/5500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 54/54 Sieved rational special-q in [2750000, 5050001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1009651 x 1009899 Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 4.00 hours. Time per square root: 0.30 hours * 3 Prototype def-par.txt line would be: snfs,168,5,0,0,0,0,0,0,0,0,5500000,5500000,27,27,54,54,2.6,2.6,100000 total time: 39.00 hours.``` `Msieve-1.37` `Opteron-2.6GHz; Linux x86_64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 07:53:48 UTC 2008 年 7 月 24 日 (木) 16 時 53 分 48 秒 (日本時間)

## 13×10170+419

### c149

name 名前 Robert Backstrom May 21, 2009 04:19:47 UTC 2009 年 5 月 21 日 (木) 13 時 19 分 47 秒 (日本時間) `24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671<149>` ```1575121672855345298238023360609906942627058819383<49> 15268025271988546201862798038998621247627449241812295699219585367782233836956990474049954794008106537<101>``` ```Number: n N=24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671 ( 149 digits) SNFS difficulty: 171 digits. Divisors found: Thu May 21 14:11:46 2009 prp49 factor: 1575121672855345298238023360609906942627058819383 Thu May 21 14:11:46 2009 prp101 factor: 15268025271988546201862798038998621247627449241812295699219585367782233836956990474049954794008106537 Thu May 21 14:11:46 2009 elapsed time 01:23:14 (Msieve 1.39 - dependency 1) Version: GGNFS-0.77.1-20060513-pentium-m Total time: 41.94 hours. Scaled time: 111.09 units (timescale=2.649). Factorization parameters were as follows: name: KA_1_4_169_9 n: 24048997507612287288102100750520634911112589018110209838926532782366722172082602334303006601667608485021999452619553254832970652887124101622504606671 m: 10000000000000000000000000000000000 deg: 5 c5: 13 c0: 41 skew: 1.26 type: snfs lss: 1 rlim: 5000000 alim: 5000000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 5000000/5000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [2500000, 4812883) Primes: RFBsize:348513, AFBsize:347692, largePrimes:16399716 encountered Relations: rels:15549600, finalFF:675814 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1579804 hash collisions in 16873984 relations Msieve: matrix is 902266 x 902514 (242.4 MB) Total sieving time: 41.36 hours. Total relation processing time: 0.58 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,171,5,0,0,0,0,0,0,0,0,5000000,5000000,28,28,56,56,2.4,2.4,100000 total time: 41.94 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

## 13×10171+419

### c132

name 名前 Sinkiti Sibata February 14, 2010 23:12:58 UTC 2010 年 2 月 15 日 (月) 8 時 12 分 58 秒 (日本時間) `774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199<132>` ```56874257666096123864888809577242030100639609350149857<53> 13609491717914140848205143113747911831822601242187071037687299026972632686413607<80>``` ```Number: 14449_171 N=774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199 ( 132 digits) SNFS difficulty: 172 digits. Divisors found: r1=56874257666096123864888809577242030100639609350149857 (pp53) r2=13609491717914140848205143113747911831822601242187071037687299026972632686413607 (pp80) Version: Msieve-1.40 Total time: 85.54 hours. Scaled time: 278.36 units (timescale=3.254). Factorization parameters were as follows: name: 14449_171 n: 774029738669250031608933254896552177813047446172350098757514322157903516750646056090132560847002615409462496574201498820913333904199 m: 10000000000000000000000000000000000 deg: 5 c5: 130 c0: 41 skew: 0.79 type: snfs lss: 1 rlim: 5200000 alim: 5200000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 Factor base limits: 5200000/5200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved rational special-q in [2600000, 6300001) Primes: rational ideals reading, algebraic ideals reading, Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1046762 x 1047008 Total sieving time: 83.20 hours. Total relation processing time: 0.11 hours. Matrix solve time: 2.15 hours. Time per square root: 0.09 hours. Prototype def-par.txt line would be: snfs,172.000,5,0,0,0,0,0,0,0,0,5200000,5200000,27,27,52,52,2.4,2.4,100000 total time: 85.54 hours. --------- CPU info (if available) ----------``` `Core i7 2.93GHz,Windows 7 64bit,and Cygwin)`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e62336Wataru SakaiAugust 1, 2009 05:03:34 UTC 2009 年 8 月 1 日 (土) 14 時 3 分 34 秒 (日本時間)

## 13×10172+419

### c169

name 名前 Robert Backstrom June 27, 2008 07:07:33 UTC 2008 年 6 月 27 日 (金) 16 時 7 分 33 秒 (日本時間) `4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467<169>` ```695174701333859421685033528060504335793719122110800973735698497489652426318743<78> 5857950471415925447371678650915658511220611799017059207971764941934442613310213419314598469<91>``` ```Number: n N=4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467 ( 169 digits) SNFS difficulty: 173 digits. Divisors found: Thu Jun 26 22:17:23 2008 prp78 factor: 695174701333859421685033528060504335793719122110800973735698497489652426318743 Thu Jun 26 22:17:23 2008 prp91 factor: 5857950471415925447371678650915658511220611799017059207971764941934442613310213419314598469 Thu Jun 26 22:17:23 2008 elapsed time 01:59:04 (Msieve 1.34) Version: GGNFS-0.77.1-20050930-k8 Total time: 136.56 hours. Scaled time: 114.43 units (timescale=0.838). Factorization parameters were as follows: name: KA_1_4_171_9 n: 4072298969395106976161388340694796854932180559471227641512389186479967421608244839144190708893274441625160542555524230178867900886508160260627134041286846474328853804467 type: snfs deg: 5 c5: 1300 c0: 41 skew: 0.50 m: 10000000000000000000000000000000000 rlim: 6500000 alim: 6500000 lbpr: 28 lbpa: 28 mbpr: 48 mbpa: 48 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 6500000/6500000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 48/48 Sieved special-q in [100000, 6800177) Primes: RFBsize:444757, AFBsize:445323, largePrimes:6021958 encountered Relations: rels:6219222, finalFF:891387 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 136.26 hours. Total relation processing time: 0.30 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,173,5,0,0,0,0,0,0,0,0,6500000,6500000,27,27,48,48,2.5,2.5,100000 total time: 136.56 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2074672k/2097088k available (2382k kernel code, 21604k reserved, 681k data, 296k init, 1179584k highmem, 0k BadRAM) Calibrating delay loop... 5963.77 BogoMIPS (lpj=2981888) Calibrating delay loop... 6029.31 BogoMIPS (lpj=3014656) Total of 2 processors activated (11993.08 BogoMIPS).```

## 13×10173+419

### c154

name 名前 Robert Backstrom June 14, 2010 08:12:46 UTC 2010 年 6 月 14 日 (月) 17 時 12 分 46 秒 (日本時間) `3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103<154>` ```1259393222365867249227652686667179254569386231818978490719245066677017129<73> 3146406736229379855843742856971204695993038962881919640202224215565401362024455807<82>``` ```Number: n N=3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103 ( 154 digits) SNFS difficulty: 174 digits. Divisors found: Mon Jun 14 14:37:15 2010 prp73 factor: 1259393222365867249227652686667179254569386231818978490719245066677017129 Mon Jun 14 14:37:15 2010 prp82 factor: 3146406736229379855843742856971204695993038962881919640202224215565401362024455807 Mon Jun 14 14:37:15 2010 elapsed time 02:22:50 (Msieve 1.42 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=0.880). Factorization parameters were as follows: name: KA_1_4_172_9 n: 3962563318413590005248546632864346553398392921473015330911482143795495460965165783984676426465497376580887139760186113578083724670726182370284960242518103 m: 10000000000000000000000000000000000 deg: 5 c5: 13000 c0: 41 skew: 0.32 type: snfs lss: 1 rlim: 5600000 alim: 5600000 lpbr: 27 lpba: 27 mfbr: 52 mfba: 52 rlambda: 2.4 alambda: 2.4 qintsize: 100000 Factor base limits: 5600000/5600000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 52/52 Sieved special-q in [100000, 12200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 1824548 hash collisions in 12775045 relations Msieve: matrix is 1014053 x 1014278 (287.3 MB) Total sieving time: 0.00 hours. Total relation processing time: 0.00 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,174,5,0,0,0,0,0,0,0,0,5600000,5600000,27,27,52,52,2.4,2.4,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- CPU0: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 CPU1: AMD Athlon(tm) 64 X2 Dual Core Processor 6000+ stepping 03 Memory: 2034148k/2097088k available (3972k kernel code, 388k absent, 62552k reserved, 2498k data, 1292k init) VBoxDrv: dbg - g_abExecMemory=ffffffffa02c4440 Calibrating delay loop (skipped), value calculated using timer frequency.. 6026.43 BogoMIPS (lpj=3013215) Calibrating delay using timer specific routine.. 6026.96 BogoMIPS (lpj=3013483) Total of 2 processors activated (12053.39 BogoMIPS).```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e60--
403e61200500Erik BrangerDecember 21, 2009 06:19:22 UTC 2009 年 12 月 21 日 (月) 15 時 19 分 22 秒 (日本時間)
700Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)
4511e6199 / 4021Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)
5043e655 / 7463Ignacio SantosMay 28, 2010 14:24:32 UTC 2010 年 5 月 28 日 (金) 23 時 24 分 32 秒 (日本時間)

## 13×10176+419

### c177

name 名前 Jo Yeong Uk March 24, 2008 04:44:50 UTC 2008 年 3 月 24 日 (月) 13 時 44 分 50 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<177>` ```27808173143646712634660391407710352012010711814864118729595098669<65> 5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621<112>``` ```Number: 14449_176 N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 177 digits) SNFS difficulty: 177 digits. Divisors found: r1=27808173143646712634660391407710352012010711814864118729595098669 (pp65) r2=5194316206904279433881048138938401523659364545671879176946965575026753080885093603550898063065486182518914359621 (pp112) Version: GGNFS-0.77.1-20050930-nocona Total time: 204.63 hours. Scaled time: 380.21 units (timescale=1.858). Factorization parameters were as follows: n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 m: 100000000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 9000000/9000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 50/50 Sieved algebraic special-q in [4500000, 7900001) Primes: RFBsize:602489, AFBsize:600866, largePrimes:10966505 encountered Relations: rels:11138115, finalFF:1368651 Max relations in full relation-set: 28 Initial matrix: 1203422 x 1368651 with sparse part having weight 91983625. Pruned matrix : 1058351 x 1064432 with weight 64848531. Total sieving time: 196.42 hours. Total relation processing time: 0.20 hours. Matrix solve time: 7.84 hours. Time per square root: 0.17 hours. Prototype def-par.txt line would be: snfs,177,5,0,0,0,0,0,0,0,0,9000000,9000000,28,28,50,50,2.6,2.6,100000 total time: 204.63 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Intel(R) Core(TM)2 Quad CPU @ 2.40GHz stepping 07 Memory for crash kernel (0x0 to 0x0) notwithin permissible range Memory: 8178324k/8912896k available (2439k kernel code, 208016k reserved, 1234k data, 192k init) Calibrating delay using timer specific routine.. 4812.91 BogoMIPS (lpj=2406459) Calibrating delay using timer specific routine.. 4810.22 BogoMIPS (lpj=2405110) Calibrating delay using timer specific routine.. 4809.52 BogoMIPS (lpj=2404760) Calibrating delay using timer specific routine.. 4810.23 BogoMIPS (lpj=2405116)``` `Core 2 Quad Q6600`

## 13×10177+419

### c121

name 名前 Robert Backstrom April 2, 2008 12:30:53 UTC 2008 年 4 月 2 日 (水) 21 時 30 分 53 秒 (日本時間) `2331504589893796279348564142093932683605454334527722453443460981629487042225548795923630613258832749184138924769283434053<121>` ```332959311000289726554119341499581353472911353<45> 7002370898982811465985212519192627896899356817719697064270507631837030185901<76>``` ```GMP-ECM 6.0 [powered by GMP 4.1.4] [ECM] Input number is 2331504589893796279348564142093932683605454334527722453443460981629487042225548795923630613258832749184138924769283434053 (121 digits) Using B1=7318000, B2=14310592011, polynomial Dickson(12), sigma=2046770327 Step 1 took 60007ms Step 2 took 27665ms ********** Factor found in step 2: 332959311000289726554119341499581353472911353 Found probable prime factor of 45 digits: 332959311000289726554119341499581353472911353 Probable prime cofactor 7002370898982811465985212519192627896899356817719697064270507631837030185901 has 76 digits```

## 13×10179+419

### c148

name 名前 Serge Batalov September 22, 2008 18:20:46 UTC 2008 年 9 月 23 日 (火) 3 時 20 分 46 秒 (日本時間) `1897571261229791071265337223016873491309474224806046562845578376795790634345445362472514702627439288498153887122771516474451607809237861637030102177<148>` `46992713266751930707073011577<29>` `40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801<119>` ```Using B1=3000000, B2=14267859070, polynomial Dickson(12), sigma=843826318 Step 1 took 14245ms Step 2 took 12917ms ********** Factor found in step 2: 46992713266751930707073011577 Found probable prime factor of 29 digits: 46992713266751930707073011577 Composite cofactor 40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801 has 119 digits``` `GMP-ECM 6.2.1`

### c119

name 名前 Jo Yeong Uk September 28, 2008 02:00:44 UTC 2008 年 9 月 28 日 (日) 11 時 0 分 44 秒 (日本時間) `40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801<119>` ```30311897398836633926595718252104305336929992466250467<53> 1332154054820807868883060706294827597729163358841002375824024699203<67>``` ```Number: 14449_179 N=40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801 ( 119 digits) Divisors found: r1=30311897398836633926595718252104305336929992466250467 (pp53) r2=1332154054820807868883060706294827597729163358841002375824024699203 (pp67) Version: GGNFS-0.77.1-20050930-nocona Total time: 34.61 hours. Scaled time: 82.51 units (timescale=2.384). Factorization parameters were as follows: name: 14449_179 n: 40380117029172520674769513188321069808478594187938313449637188262684915551986256553904977186681940701330222198933277801 skew: 59519.84 # norm 5.30e+16 c5: 90180 c4: 37114906902 c3: -1064109571462834 c2: -114583571740201368031 c1: 1888116932644638843692268 c0: 14072364541878315912665194068 # alpha -6.66 Y1: 10050004274557 Y0: -53728508162727730627147 # Murphy_E 3.17e-10 # M 1546977283922582777487438798546142938538458754200649131652727350868351272901527820115965843604045265077433363727393309 type: gnfs rlim: 4200000 alim: 4200000 lpbr: 27 lpba: 27 mfbr: 50 mfba: 50 rlambda: 2.4 alambda: 2.4 qintsize: 75000 Factor base limits: 4200000/4200000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 50/50 Sieved algebraic special-q in [2100000, 4050001) Primes: RFBsize:296314, AFBsize:295837, largePrimes:7735710 encountered Relations: rels:7843064, finalFF:755394 Max relations in full relation-set: 28 Initial matrix: 592232 x 755394 with sparse part having weight 67118714. Pruned matrix : 463583 x 466608 with weight 42170854. Polynomial selection time: 2.29 hours. Total sieving time: 30.40 hours. Total relation processing time: 0.15 hours. Matrix solve time: 1.64 hours. Time per square root: 0.14 hours. Prototype def-par.txt line would be: gnfs,118,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,4200000,4200000,27,27,50,50,2.4,2.4,75000 total time: 34.61 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8047092k/8912896k available (2460k kernel code, 339200k reserved, 1251k data, 196k init) Calibrating delay using timer specific routine.. 5347.61 BogoMIPS (lpj=2673805) Calibrating delay using timer specific routine.. 5344.68 BogoMIPS (lpj=2672343) Calibrating delay using timer specific routine.. 5344.63 BogoMIPS (lpj=2672318) Calibrating delay using timer specific routine.. 5344.71 BogoMIPS (lpj=2672355)``` `Core 2 Quad Q6700`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

## 13×10180+419

### c163

name 名前 matsui September 18, 2010 06:10:54 UTC 2010 年 9 月 18 日 (土) 15 時 10 分 54 秒 (日本時間) `4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457<163>` ```485753712074881400256208382619505617900498505243549286511659521<63> 9248604433056790658278644231334037072983249191975038056027599392140417506135791754944559349068740617<100>``` ```N=4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457 ( 163 digits) SNFS difficulty: 181 digits. Divisors found: r1=485753712074881400256208382619505617900498505243549286511659521 (pp63) r2=9248604433056790658278644231334037072983249191975038056027599392140417506135791754944559349068740617 (pp100) Version: Msieve v. 1.47 Total time: Scaled time: 8.95 units (timescale=1.241). Factorization parameters were as follows: n: 4492543934869540019428843712977791742979867876516741794331205232602592621457912203541975748436858862233106863400935246039832163958607926182276745290133082167464457 m: 1000000000000000000000000000000000000 deg: 5 c5: 13 c0: 41 skew: 1.26 type: snfs lss: 1 rlim: 7300000 alim: 7300000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7300000/7300000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3650000, 8450001) Primes: , , Relations: relations Max relations in full relation-set: Initial matrix: Pruned matrix : 1468226 x 1468457 Total sieving time: Total relation processing time: Matrix solve time: Time per square root: Prototype def-par.txt line would be: snfs,181.000,5,0,0,0,0,0,0,0,0,7300000,7300000,28,28,53,53,2.5,2.5,100000 total time:```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

## 13×10181+419

### c179

name 名前 Wataru Sakai November 24, 2008 04:01:44 UTC 2008 年 11 月 24 日 (月) 13 時 1 分 44 秒 (日本時間) `44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763<179>` ```27562524394914669598711172166617269924884888204961<50> 1622479915196479736876798893912635377625993367732178502949268365993143847383362621642915177047839771381675513828189657496747215083<130>``` ```Number: 14449_181 N=44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763 ( 179 digits) SNFS difficulty: 182 digits. Divisors found: r1=27562524394914669598711172166617269924884888204961 (pp50) r2=1622479915196479736876798893912635377625993367732178502949268365993143847383362621642915177047839771381675513828189657496747215083 (pp130) Version: GGNFS-0.77.1-20060722-nocona Total time: 351.70 hours. Scaled time: 697.77 units (timescale=1.984). Factorization parameters were as follows: n: 44719642242862057103543171654626762985896112831097351221190230478156174750601995184038527691778465772273821809425524595803233574131406948744410044719642242862057103543171654626763 m: 1000000000000000000000000000000000000 deg: 5 c5: 130 c0: 41 skew: 0.79 type: snfs lss: 1 rlim: 7600000 alim: 7600000 lpbr: 28 lpba: 28 mfbr: 53 mfba: 53 rlambda: 2.5 alambda: 2.5 Factor base limits: 7600000/7600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 53/53 Sieved rational special-q in [3800000, 7100001) Primes: RFBsize:514565, AFBsize:513133, largePrimes:19008871 encountered Relations: rels:21296485, finalFF:2344194 Max relations in full relation-set: 32 Initial matrix: 1027765 x 2344193 with sparse part having weight 350900025. Pruned matrix : 721846 x 727048 with weight 202326012. Total sieving time: 336.70 hours. Total relation processing time: 0.39 hours. Matrix solve time: 14.25 hours. Time per square root: 0.35 hours. Prototype def-par.txt line would be: snfs,182,5,0,0,0,0,0,0,0,0,7600000,7600000,28,28,53,53,2.5,2.5,100000 total time: 351.70 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

## 13×10183+419

### c164

name 名前 Serge Batalov September 26, 2011 05:53:57 UTC 2011 年 9 月 26 日 (月) 14 時 53 分 57 秒 (日本時間) `69766908915731185174779201022227109747135169261840345030850923441251053599370437199510460199823065361676038963660013215136816654071035708226343817803134236170712063<164>` `449697321652106075796403374711141577<36>` `155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319<129>` ```Input number is 69766908915731185174779201022227109747135169261840345030850923441251053599370437199510460199823065361676038963660013215136816654071035708226343817803134236170712063 (164 digits) Using B1=3000000, B2=11414255590, polynomial Dickson(12), sigma=979206848 Step 1 took 11881ms Step 2 took 9112ms ********** Factor found in step 2: 449697321652106075796403374711141577 Found probable prime factor of 36 digits: 449697321652106075796403374711141577 Composite cofactor has 129 digits```

### c129

name 名前 Warut Roonguthai September 29, 2011 19:57:49 UTC 2011 年 9 月 30 日 (金) 4 時 57 分 49 秒 (日本時間) `155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319<129>` ```61576569792417067177594661575964212271730904327071683<53> 2519496088028564405018487926366650899338729884900718679609003532641260467693<76>``` ```N = 155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319 (129 digits) Divisors found: r1=61576569792417067177594661575964212271730904327071683 (pp53) r2=2519496088028564405018487926366650899338729884900718679609003532641260467693 (pp76) Version: Msieve v. 1.48 Total time: 40.06 hours. Factorization parameters were as follows: n: 155141926706212670897582741214331915277421570888781518358811320701028621884965054327312799183294893947607984875604180881716637319 Y0: -8951005942646416619655608 Y1: 60933944144057 c0: 7209184565784297795975742801735 c1: 135543872004623553456301485 c2: -947658268555338574847 c3: -6288713614185001 c4: 5652383208 c5: 2700 skew: 414290.89 type: gnfs Factor base limits: 6800000/6800000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 19928048 Relations: 2316364 relations Pruned matrix : 1315896 x 1316120 Polynomial selection time: 0.00 hours. Total sieving time: 37.41 hours. Total relation processing time: 0.12 hours. Matrix solve time: 2.23 hours. time per square root: 0.30 hours. Prototype def-par.txt line would be: gnfs,128,5,65,2000,1e-05,0.28,250,20,50000,3600,6800000,6800000,28,28,55,55,2.5,2.5,100000 total time: 40.06 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 4, speed: 2.29GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)
403e6410 / 2144110Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)
300Serge BatalovSeptember 26, 2011 17:01:04 UTC 2011 年 9 月 27 日 (火) 2 時 1 分 4 秒 (日本時間)
4511e632 / 4374Ignacio SantosOctober 6, 2010 13:35:31 UTC 2010 年 10 月 6 日 (水) 22 時 35 分 31 秒 (日本時間)

## 13×10184+419

### c179

name 名前 Robert Backstrom August 1, 2009 22:58:13 UTC 2009 年 8 月 2 日 (日) 7 時 58 分 13 秒 (日本時間) `56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537<179>` ```92587192841326317904370509461876612279913187413506323373335331228760777<71> 606150114546001300708435303470338784608990441248267320938295610733948093243853858789867890785546836431405881<108>``` ```Number: n N=56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537 ( 179 digits) SNFS difficulty: 185 digits. Divisors found: Sun Aug 02 08:53:24 2009 prp71 factor: 92587192841326317904370509461876612279913187413506323373335331228760777 Sun Aug 02 08:53:24 2009 prp108 factor: 606150114546001300708435303470338784608990441248267320938295610733948093243853858789867890785546836431405881 Sun Aug 02 08:53:24 2009 elapsed time 03:35:50 (Msieve 1.39 - dependency 2) Version: GGNFS-0.77.1-20060513-pentium-m Total time: 147.60 hours. Scaled time: 384.64 units (timescale=2.606). Factorization parameters were as follows: name: KA_1_4_183_9 n: 56121737546262659229241324766565949733054796832834497427681744850722653712042818295513757812253792858120362131987102361300521975329747586009800582198271191460171050421927539929537 m: 5000000000000000000000000000000000000 deg: 5 c5: 208 c0: 205 skew: 1.00 type: snfs lss: 1 rlim: 8800000 alim: 8800000 lpbr: 28 lpba: 28 mfbr: 56 mfba: 56 rlambda: 2.5 alambda: 2.5 qintsize: 50000 Factor base limits: 8800000/8800000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 56/56 Sieved special-q in [4400000, 7035647) Primes: RFBsize:590006, AFBsize:590266, largePrimes:21302773 encountered Relations: rels:21438521, finalFF:1122149 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 2374612 hash collisions in 23329475 relations Msieve: matrix is 1562449 x 1562697 (420.7 MB) Total sieving time: 146.75 hours. Total relation processing time: 0.84 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,185,5,0,0,0,0,0,0,0,0,8800000,8800000,28,28,56,56,2.5,2.5,100000 total time: 147.60 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)

## 13×10185+419

### c168

name 名前 Jo Yeong Uk August 11, 2014 22:21:32 UTC 2014 年 8 月 12 日 (火) 7 時 21 分 32 秒 (日本時間) `733733079150708025917720541742081244304937082477153909578233259576500631117762150652303412528221120233210989866418984366851823295291557649133540666696879750457946310469<168>` ```3422830258396349772359902705585715001089<40> 1305957517860182579388230755800656254831449163816107289268928281<64> 164143498884177267231178020856709191714594079392819767560388476941<66>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 733733079150708025917720541742081244304937082477153909578233259576500631117762150652303412528221120233210989866418984366851823295291557649133540666696879750457946310469 (168 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1233038543 Step 1 took 29572ms Step 2 took 10033ms ********** Factor found in step 2: 3422830258396349772359902705585715001089 Found probable prime factor of 40 digits: 3422830258396349772359902705585715001089 Composite cofactor 214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421 has 129 digits Number: 14449_185 N=214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421 ( 129 digits) Divisors found: r1=1305957517860182579388230755800656254831449163816107289268928281 r2=164143498884177267231178020856709191714594079392819767560388476941 Version: Total time: 54.64 hours. Scaled time: 284.45 units (timescale=5.206). Factorization parameters were as follows: name: 14449_185 n: 214364436375665792761075491754657365073840686691789969631465357303354548349137719788627007248716125074646577918993359744951268421 skew: 102092.91 # norm 2.69e+17 c5: 252840 c4: -1590947113 c3: -9157551556233998 c2: 84937222439650814546 c1: 18189355358068443787692648 c0: -472038858769805437937990278368 # alpha -5.88 Y1: 4487399428963 Y0: -3851779270818502309960765 # Murphy_E 9.88e-11 # M 50940878067294247678726730910303353071009558196723765963353119877200233888279336170291788834199849713113443180068180925709069788 type: gnfs rlim: 8400000 alim: 8400000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 qintsize: 100000 Factor base limits: 8400000/8400000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved algebraic special-q in [4200000, 8800001) Primes: rational ideals reading, algebraic ideals reading, Relations: 20214338 Max relations in full relation-set: Initial matrix: Pruned matrix : 1393530 x 1393778 Polynomial selection time: 9.09 hours. Total sieving time: 40.77 hours. Total relation processing time: 2.25 hours. Matrix solve time: 2.36 hours. Time per square root: 0.18 hours. Prototype def-par.txt line would be: gnfs,128,5,maxs1,maxskew,goodScore,efrac,j0,j1,eStepSize,maxTime,8400000,8400000,28,28,55,55,2.6,2.6,100000 total time: 54.64 hours. --------- CPU info (if available) ---------- CPU0: Intel(R) Core(TM) i7-4930K CPU @ 3.40GHz stepping 04 Memory: 49373664k/51380224k available (5220k kernel code, 1086460k absent, 920100k reserved, 7121k data, 1264k init) Calibrating delay loop (skipped), value calculated using timer frequency.. 6800.41 BogoMIPS (lpj=3400205) Total of 12 processors activated (81604.92 BogoMIPS).``` `GMP-ECM v6.4.4 / GGNFS / Msieve v1.39` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
403e61110110Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:41:49 UTC 2013 年 3 月 22 日 (金) 5 時 41 分 49 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 6, 2010 13:51:56 UTC 2010 年 10 月 6 日 (水) 22 時 51 分 56 秒 (日本時間)
300Rich DickersonNovember 9, 2013 15:26:38 UTC 2013 年 11 月 10 日 (日) 0 時 26 分 38 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間)

## 13×10186+419

### c153

name 名前 Jo Yeong Uk November 27, 2016 04:53:48 UTC 2016 年 11 月 27 日 (日) 13 時 53 分 48 秒 (日本時間) `564555109211792860622829673770040821012592710978938881917950424732885228525344632214443266851866472797054036122821627556903975680113540867735612783861783<153>` ```53080502044032118016901860922738626099590403<44> 115218023293091218027256569500080140017235758913<48> 92310456818712999285678730082257175403972632658850253677498397<62>``` ```GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 564555109211792860622829673770040821012592710978938881917950424732885228525344632214443266851866472797054036122821627556903975680113540867735612783861783 (153 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1976153498 Step 1 took 24802ms Step 2 took 8922ms ********** Factor found in step 2: 53080502044032118016901860922738626099590403 Found probable prime factor of 44 digits: 53080502044032118016901860922738626099590403 Composite cofactor 10635828363934365407745380028164405611295993909245712540746806751426696800139417582256659369689834023635962461 has 110 digits GMP-ECM 6.4.4 [configured with GMP 6.0.0, --enable-asm-redc] [ECM] Input number is 10635828363934365407745380028164405611295993909245712540746806751426696800139417582256659369689834023635962461 (110 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=7837800385 Step 1 took 15669ms Step 2 took 6840ms ********** Factor found in step 2: 115218023293091218027256569500080140017235758913 Found probable prime factor of 48 digits: 115218023293091218027256569500080140017235758913 Probable prime cofactor 92310456818712999285678730082257175403972632658850253677498397 has 62 digits``` `Core i7-4930K`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
403e61410110Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:41:57 UTC 2013 年 3 月 22 日 (金) 5 時 41 分 57 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:03 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 3 秒 (日本時間)
4511e6932 / 415332Ignacio SantosOctober 6, 2010 14:59:37 UTC 2010 年 10 月 6 日 (水) 23 時 59 分 37 秒 (日本時間)
600Rich DickersonApril 11, 2014 00:57:14 UTC 2014 年 4 月 11 日 (金) 9 時 57 分 14 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:01 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 1 秒 (日本時間)

## 13×10188+419

### c144

name 名前 Jason Parker-Burlingham April 9, 2019 11:51:08 UTC 2019 年 4 月 9 日 (火) 20 時 51 分 8 秒 (日本時間) `206794660959261742184581015806699303081027522986404853025957585461975328606505274369513718291261742492875375126706866452845854598252093096478999<144>` ```595122014699011408626036173842045948268316952448862096287450299<63> 347482794875014158467485938937073966279400010809155105612255001023303714184361301<81>``` ```n: 206794660959261742184581015806699303081027522986404853025957585461975328606505274369513718291261742492875375126706866452845854598252093096478999 skew: 0.32 c0: 41 c5: 13000 Y0: -10000000000000000000000000000000000000 Y1: 1 # f(x) = 13000*x^5+41 # g(x) = x-10000000000000000000000000000000000000 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 7.03/1.30532 Info:Generate Free Relations: Total cpu/real time for freerel: 145.55/22.9577 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 23792498 Info:Lattice Sieving: Average J: 3790.6 for 1401271 special-q, max bucket fill -bkmult 1.0,1s:1.187640 Info:Lattice Sieving: Total time: 712833s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 43.59/60.2496 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 60.0s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2:325.02/157.377 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 128.3s Info:Filtering - Singleton removal: Total cpu/real time for purge: 224.09/97.5078 Info:Filtering - Merging: Total cpu/real time for merge: 554.24/547.816 Info:Filtering - Merging: Total cpu/real time for replay: 65.41/59.7106 Info:Linear Algebra: Total cpu/real time for bwc: 64272.5/10853.9 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 6726.7, iteration CPU time 0.1, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (57000 iterations) Info:Linear Algebra: Lingen CPU time 304.18, WCT time 306.04 Info:Linear Algebra: Mksol: WCT time 3673.1, iteration CPU time 0.11, COMM 0.0, cpu-wait 0.01, comm-wait 0.0 (29000 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 51.54/15.5194 Info:Square Root: Total cpu/real time for sqrt: 2307.34/388.651 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization: Total cpu/elapsed time for entire factorization: 1.24879e+06/11260.4 347482794875014158467485938937073966279400010809155105612255001023303714184361301 595122014699011408626036173842045948268316952448862096287450299``` `CADO-NFS-3.0.0-dev (revision 4b12f6ad5)` `3.7GHz Quad-core Xeon E5 with 32GB RAM.`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)
403e62710110Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:07 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 7 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:03 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 3 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:33 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 33 秒 (日本時間)
4511e6103232Ignacio SantosOctober 7, 2010 06:37:12 UTC 2010 年 10 月 7 日 (木) 15 時 37 分 12 秒 (日本時間)
1000Rich DickersonJanuary 23, 2019 11:09:02 UTC 2019 年 1 月 23 日 (水) 20 時 9 分 2 秒 (日本時間)
5043e61000 / 7217Dylan DelgadoJanuary 30, 2019 01:23:11 UTC 2019 年 1 月 30 日 (水) 10 時 23 分 11 秒 (日本時間)

## 13×10190+419

### c147

name 名前 Justin Card July 6, 2012 19:38:02 UTC 2012 年 7 月 7 日 (土) 4 時 38 分 2 秒 (日本時間) `231222493551888613736017178689112514951459176449934169946096740079893237988866872112285003740367219724145711604812562159034988702895320107891897909<147>` `11205880402563335996495031939618847<35>` `20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347<113>` ```[2012-07-03 16:29:40 GMT] a: Factor found! 14449_190 / (probable) 11205880402563335996495031939618847 B1: 3000000 sigma: 2359296238 (found in step 2) [2012-07-03 16:29:40 GMT] a: Co-factor: 14449_190 / (Composite) 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347``` `GMP-ECM 6.2` `Phenom X4 3.0GHz, Linux Mint`

### c113

name 名前 Warut Roonguthai July 7, 2012 14:18:03 UTC 2012 年 7 月 7 日 (土) 23 時 18 分 3 秒 (日本時間) `20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347<113>` ```26296146249848225401246975115754858765355629619<47> 784678929424131492935260573540308394768242513558720328063697084713<66>``` ```N = 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347 (113 digits) Divisors found: r1=26296146249848225401246975115754858765355629619 (pp47) r2=784678929424131492935260573540308394768242513558720328063697084713 (pp66) Version: Msieve v. 1.49 (SVN unknown) Total time: 3.88 hours. Factorization parameters were as follows: n: 20634031887311295687793153134836232839527334471423666420848479889728474577615947769954205184092403161412894914347 Y0: -5538350288192397282422 Y1: 711974303389 c0: 22553926092480559580910892665 c1: 640436877192363970099719 c2: 3867352062690220697 c3: -81039022625711 c4: -935585730 c5: 3960 skew: 113380.55 type: gnfs Factor base limits: 3500000/3500000 Large primes per side: 3 Large prime bits: 27/27 Sieved algebraic special-q in [0, 0) Total raw relations: 8103421 Relations: 620966 relations Pruned matrix : 376523 x 376748 Polynomial selection time: 0.00 hours. Total sieving time: 3.73 hours. Total relation processing time: 0.03 hours. Matrix solve time: 0.10 hours. time per square root: 0.02 hours. Prototype def-par.txt line would be: gnfs,112,5,61,2000,0.00016,0.25,250,15,50000,2800,3500000,3500000,27,27,50,50,2.6,2.6,100000 total time: 3.88 hours. Intel64 Family 6 Model 42 Stepping 7, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 2.19GHz```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 7, 2010 07:01:35 UTC 2010 年 10 月 7 日 (木) 16 時 1 分 35 秒 (日本時間)

## 13×10191+419

### c192

name 名前 Jo Yeong Uk July 15, 2008 00:51:45 UTC 2008 年 7 月 15 日 (火) 9 時 51 分 45 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<192>` ```497657554076973302518779613306102473057258401585609<51> 290248672528143811855534364536737651221044179346938023837658334270944573019672423163353331467770581052482338681134129509473272799800519044761<141>``` ```Number: 14449_191 N=144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 192 digits) SNFS difficulty: 192 digits. Divisors found: r1=497657554076973302518779613306102473057258401585609 (pp51) r2=290248672528143811855534364536737651221044179346938023837658334270944573019672423163353331467770581052482338681134129509473272799800519044761 (pp141) Version: GGNFS-0.77.1-20050930-nocona Total time: 592.51 hours. Scaled time: 1409.59 units (timescale=2.379). Factorization parameters were as follows: n: 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 m: 100000000000000000000000000000000000000 c5: 130 c0: 41 skew: 0.79 type: snfs Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved algebraic special-q in [8000000, 18100001) Primes: RFBsize:1031130, AFBsize:1029654, largePrimes:14861895 encountered Relations: rels:16051847, finalFF:2329705 Max relations in full relation-set: 28 Initial matrix: 2060851 x 2329705 with sparse part having weight 193127240. Pruned matrix : 1827746 x 1838114 with weight 151862872. Total sieving time: 552.20 hours. Total relation processing time: 0.44 hours. Matrix solve time: 39.65 hours. Time per square root: 0.23 hours. Prototype def-par.txt line would be: snfs,192,5,0,0,0,0,0,0,0,0,16000000,16000000,28,28,52,52,2.6,2.6,100000 total time: 592.51 hours. --------- CPU info (if available) ---------- Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Intel(R) Core(TM)2 Quad CPU Q6700 @ 2.66GHz stepping 0b Memory: 8047052k/8912896k available (2459k kernel code, 339236k reserved, 1247k data, 196k init) Calibrating delay using timer specific routine.. 5347.60 BogoMIPS (lpj=2673804) Calibrating delay using timer specific routine.. 5344.69 BogoMIPS (lpj=2672348) Calibrating delay using timer specific routine.. 5344.23 BogoMIPS (lpj=2672116) Calibrating delay using timer specific routine.. 5589.60 BogoMIPS (lpj=2794804)``` `Core 2 Quad Q6700`

## 13×10192+419

### c153

name 名前 Eric Jeancolas December 3, 2020 06:29:53 UTC 2020 年 12 月 3 日 (木) 15 時 29 分 53 秒 (日本時間) `927580092378205375810913264348862110267284487931477181724936154999058192476693666696039475090827057357810511524707342129348691159639439757259319666735559<153>` ```20891050569717776069222022147565269090433958653975893530839<59> 44400835146259298631132247303778328074947964617814920697868881451350942150918991206756424718481<95>``` ```927580092378205375810913264348862110267284487931477181724936154999058192476693666696039475090827057357810511524707342129348691159639439757259319666735559=20891050569717776069222022147565269090433958653975893530839*44400835146259298631132247303778328074947964617814920697868881451350942150918991206756424718481 cado polynomial n: 927580092378205375810913264348862110267284487931477181724936154999058192476693666696039475090827057357810511524707342129348691159639439757259319666735559 skew: 0.50 type: snfs c0: 41 c5: 1300 Y0: 100000000000000000000000000000000000000 Y1: -1 # f(x) = 1300*x^5+41 # g(x) = -x+100000000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 11600000 tasks.lim1 = 11600000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 20891050569717776069222022147565269090433958653975893530839 44400835146259298631132247303778328074947964617814920697868881451350942150918991206756424718481 Warning:Polynomial Selection (size optimized): some stats could not be displayed for polyselect1 (see log file for debug info) Warning:Polynomial Selection (root optimized): some stats could not be displayed for polyselect2 (see log file for debug info) Info:Generate Factor Base: Total cpu/real time for makefb: 4.91/2.02364 Info:Generate Free Relations: Total cpu/real time for freerel: 102.99/26.5109 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 28358606 Info:Lattice Sieving: Average J: 1894.05 for 2937190 special-q, max bucket fill -bkmult 1.0,1s:1.081710 Info:Lattice Sieving: Total time: 698394s Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 53.57/135.631 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 134.99999999999997s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 473.31/474.567 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 415.40000000000003s Info:Filtering - Singleton removal: Total cpu/real time for purge: 400.29/479.586 Info:Filtering - Merging: Merged matrix has 2397978 rows and total weight 408983065 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 338.76/97.7494 Info:Filtering - Merging: Total cpu/real time for replay: 91.87/79.4822 Info:Linear Algebra: Total cpu/real time for bwc: 100543/25981.8 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: WCT time 16228.52, iteration CPU time 0.2, COMM 0.01, cpu-wait 0.0, comm-wait 0.0 (75264 iterations) Info:Linear Algebra: Lingen CPU time 483.37, WCT time 140.33 Info:Linear Algebra: Mksol: WCT time 9383.95, iteration CPU time 0.23, COMM 0.01, cpu-wait 0.01, comm-wait 0.0 (37888 iterations) Info:Quadratic Characters: Total cpu/real time for characters: 83.85/35.0367 Info:Square Root: Total cpu/real time for sqrt: 692.08/218.813 Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 1.3967e+06/376738 Info:root: Cleaning up computation data in /tmp/cado.yx1p3el5 20891050569717776069222022147565269090433958653975893530839 44400835146259298631132247303778328074947964617814920697868881451350942150918991206756424718481``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-48-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.1)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)
403e62710110Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:16 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 16 秒 (日本時間)
300Serge BatalovJanuary 9, 2014 04:39:04 UTC 2014 年 1 月 9 日 (木) 13 時 39 分 4 秒 (日本時間)
1300Serge BatalovMay 26, 2014 18:01:33 UTC 2014 年 5 月 27 日 (火) 3 時 1 分 33 秒 (日本時間)
4511e6448032Ignacio SantosOctober 7, 2010 11:56:02 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 2 秒 (日本時間)
4448iveliveJuly 21, 2020 05:01:37 UTC 2020 年 7 月 21 日 (火) 14 時 1 分 37 秒 (日本時間)

## 13×10193+419

### c194

name 名前 Robert Backstrom September 12, 2008 13:13:56 UTC 2008 年 9 月 12 日 (金) 22 時 13 分 56 秒 (日本時間) `14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<194>` ```1901287922333370738124450534127671428882960582469<49> 7597189397131069455903065721394056844398540195601305071590900567978034358366761385835754036511022197005546476527689112466320193426394369847525421<145>``` ```Number: n N=14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 ( 194 digits) SNFS difficulty: 194 digits. Divisors found: Fri Sep 12 22:18:39 2008 prp49 factor: 1901287922333370738124450534127671428882960582469 Fri Sep 12 22:18:39 2008 prp145 factor: 7597189397131069455903065721394056844398540195601305071590900567978034358366761385835754036511022197005546476527689112466320193426394369847525421 Fri Sep 12 22:18:39 2008 elapsed time 24:07:01 (Msieve 1.37) Version: GGNFS-0.77.1-20060513-athlon-xp Total time: 249.78 hours. Scaled time: 320.72 units (timescale=1.284). Factorization parameters were as follows: name: KA_1_4_192_9 n: 14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 type: snfs skew: 0.32 deg: 5 c5: 13000 c0: 41 m: 100000000000000000000000000000000000000 rlim: 9500000 alim: 9500000 lpbr: 28 lpba: 28 mfbr: 52 mfba: 52 rlambda: 2.5 alambda: 2.5 qintsize: 100000 Factor base limits: 9500000/9500000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 52/52 Sieved special-q in [100000, 20100001) Primes: RFBsize:633578, AFBsize:632714, largePrimes:15887207 encountered Relations: rels:16490078, finalFF:1303499 Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Total sieving time: 248.58 hours. Total relation processing time: 1.20 hours. Matrix solve time: 0.00 hours. Total square root time: 0.00 hours, sqrts: 0. Prototype def-par.txt line would be: snfs,194,5,0,0,0,0,0,0,0,0,9500000,9500000,28,28,52,52,2.5,2.5,100000 total time: 249.78 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6904Jo Yeong UkJuly 24, 2008 08:00:39 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 39 秒 (日本時間)
403e62350Jo Yeong UkJuly 24, 2008 08:00:43 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 43 秒 (日本時間)
4511e63281 / 3918Jo Yeong UkJuly 24, 2008 08:00:50 UTC 2008 年 7 月 24 日 (木) 17 時 0 分 50 秒 (日本時間)

## 13×10194+419

### c156

name 名前 Dmitry Domanov March 19, 2013 05:05:29 UTC 2013 年 3 月 19 日 (火) 14 時 5 分 29 秒 (日本時間) `190789693244000391022881633119283169688976200156694363954716108384612702532378154563421169018886886088678369227021633457187057386686127679399819908337280819<156>` ```415851590514556738086162451500900036539<39> 458792746248548651829456739246842526767557943578939179427352921787667816647441060914244152323526703574225100619596521<117>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1256891890 Step 1 took 20726ms ********** Factor found in step 1: 415851590514556738086162451500900036539 Found probable prime factor of 39 digits: 415851590514556738086162451500900036539```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)
403e6110 / 2144Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)
4511e632 / 4441Ignacio SantosOctober 7, 2010 11:56:29 UTC 2010 年 10 月 7 日 (木) 20 時 56 分 29 秒 (日本時間)

## 13×10197+419

### c157

name 名前 Eric Jeancolas August 24, 2021 18:29:03 UTC 2021 年 8 月 25 日 (水) 3 時 29 分 3 秒 (日本時間) `6924115261394589832024117318596695442684709744248253105817620259010705044241890434064419991756953255933678394359406960824083369155417709173118286529251809409<157>` ```1910830963514149916123801520930626748296594763737582099006423282290286813<73> 3623614748559791164001109266884760084187206496307037696314325105272120628244473096693<85>``` ```6924115261394589832024117318596695442684709744248253105817620259010705044241890434064419991756953255933678394359406960824083369155417709173118286529251809409=1910830963514149916123801520930626748296594763737582099006423282290286813*3623614748559791164001109266884760084187206496307037696314325105272120628244473096693 cado polynomial n: 6924115261394589832024117318596695442684709744248253105817620259010705044241890434064419991756953255933678394359406960824083369155417709173118286529251809409 skew: 1.78 type: snfs c0: 410 c6: 13 Y0: 1000000000000000000000000000000000 Y1: -1 # f(x) = 13*x^6+410 # g(x) = -x+1000000000000000000000000000000000 cado parameters (extracts) tasks.lim0 = 14600000 tasks.lim1 = 14600000 tasks.lpb0 = 28 tasks.lpb1 = 28 tasks.sieve.mfb0 = 55 tasks.sieve.mfb1 = 55 tasks.sieve.lambda0 = 2.5 tasks.sieve.lambda1 = 2.5 tasks.I = 12 tasks.linalg.m = 64 tasks.linalg.n = 64 tasks.linalg.characters.nchar = 50 cado log (extracts) Info:Square Root: Factors: 3623614748559791164001109266884760084187206496307037696314325105272120628244473096693 1910830963514149916123801520930626748296594763737582099006423282290286813 Info:Square Root: Total cpu/real time for sqrt: 1003.55/297.053 Info:Generate Free Relations: Total cpu/real time for freerel: 181.94/46.9194 Info:Filtering - Duplicate Removal, splitting pass: Total cpu/real time for dup1: 152.68/180.472 Info:Filtering - Duplicate Removal, splitting pass: Aggregate statistics: Info:Filtering - Duplicate Removal, splitting pass: CPU time for dup1: 179.1s Info:Linear Algebra: Total cpu/real time for bwc: 82448.6/21084.5 Info:Linear Algebra: Aggregate statistics: Info:Linear Algebra: Krylov: CPU time 8590.2, WCT time 2196.87, iteration CPU time 0.31, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (105984 iterations) Info:Linear Algebra: Lingen CPU time 735.9, WCT time 186.62 Info:Linear Algebra: Mksol: CPU time 73115.77, WCT time 18655.81, iteration CPU time 0.33, COMM 0.02, cpu-wait 0.0, comm-wait 0.0 (53248 iterations) Info:Generate Factor Base: Total cpu/real time for makefb: 9.49/3.78775 Info:Filtering - Merging: Merged matrix has 3379863 rows and total weight 576740809 (170.6 entries per row on average) Info:Filtering - Merging: Total cpu/real time for merge: 950.84/263.398 Info:Filtering - Merging: Total cpu/real time for replay: 136/117.898 Info:Filtering - Singleton removal: Total cpu/real time for purge: 602.15/702.587 Info:Square Root: Total cpu/real time for sqrt: 1003.55/297.053 Info:Quadratic Characters: Total cpu/real time for characters: 119.58/50.7876 Info:Lattice Sieving: Aggregate statistics: Info:Lattice Sieving: Total number of relations: 34605227 Info:Lattice Sieving: Average J: 1893.38 for 8818210 special-q, max bucket fill -bkmult 1.0,1s:1.212550 Info:Lattice Sieving: Total time: 1.87293e+06s Info:Filtering - Duplicate Removal, removal pass: Total cpu/real time for dup2: 720.09/749.479 Info:Filtering - Duplicate Removal, removal pass: Aggregate statistics: Info:Filtering - Duplicate Removal, removal pass: CPU time for dup2: 612.1s Info:HTTP server: Shutting down HTTP server Info:Complete Factorization / Discrete logarithm: Total cpu/elapsed time for entire factorization: 3.62614e+06/21437.9 3623614748559791164001109266884760084187206496307037696314325105272120628244473096693 1910830963514149916123801520930626748296594763737582099006423282290286813``` `cado-nfs-3.0.0` ```Linux Ubuntu 20.04.1 LTS [5.4.0-72-generic|libc 2.31 (Ubuntu GLIBC 2.31-0ubuntu9.3)] GenuineIntel Intel(R) Core(TM) i5-3470S CPU @ 2.90GHz [Family 6 Model 58 Stepping 9] (4 processeurs)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:24 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 24 秒 (日本時間)
4511e6541232Ignacio SantosOctober 7, 2010 11:57:09 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 9 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:03 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:02 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 2 秒 (日本時間)
4480Ignacio SantosAugust 22, 2021 19:25:19 UTC 2021 年 8 月 23 日 (月) 4 時 25 分 19 秒 (日本時間)

## 13×10198+419

### c178

name 名前 Bob Backstrom March 24, 2021 06:21:00 UTC 2021 年 3 月 24 日 (水) 15 時 21 分 0 秒 (日本時間) `4043441018636076630728309836701721225802321966046311126959122204828789019961940898314177230986568406764538278692553325327888987062140092341213576225443249873877570244113630896711<178>` ```43084653634893624852847651104575853885443175685200959<53> 93848753036309741837445590403415269757895337099054252983052301111897841972272130549973213919921781619262330008317300861147129<125>``` ```Number: n N=4043441018636076630728309836701721225802321966046311126959122204828789019961940898314177230986568406764538278692553325327888987062140092341213576225443249873877570244113630896711 ( 178 digits) SNFS difficulty: 199 digits. Divisors found: Wed Mar 24 17:14:50 2021 p53 factor: 43084653634893624852847651104575853885443175685200959 Wed Mar 24 17:14:50 2021 p125 factor: 93848753036309741837445590403415269757895337099054252983052301111897841972272130549973213919921781619262330008317300861147129 Wed Mar 24 17:14:50 2021 elapsed time 01:41:36 (Msieve 1.54 - dependency 2) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.345). Factorization parameters were as follows: # # N = 13x10^198+41 = 14(197)9 # n: 4043441018636076630728309836701721225802321966046311126959122204828789019961940898314177230986568406764538278692553325327888987062140092341213576225443249873877570244113630896711 m: 1000000000000000000000000000000000000000 deg: 5 c5: 13000 c0: 41 skew: 0.32 # Murphy_E = 1.254e-11 type: snfs lss: 1 rlim: 14600000 alim: 14600000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.5 alambda: 2.5 Factor base limits: 14600000/14600000 Large primes per side: 3 Large prime bits: 28/28 Max factor residue bits: 55/55 Sieved special-q in [100000, 27300000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4349968 hash collisions in 28808257 relations (25811400 unique) Msieve: matrix is 2129426 x 2129651 (743.9 MB) Sieving start time : 2021/03/24 06:25:48 Sieving end time : 2021/03/24 15:32:41 Total sieving time: 9hrs 6min 53secs. Total relation processing time: 1hrs 26min 12sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 6min 55sec. Prototype def-par.txt line would be: snfs,199,5,0,0,0,0,0,0,0,0,14600000,14600000,28,28,55,55,2.5,2.5,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.119391] smpboot: CPU0: AMD Ryzen 7 2700 Eight-Core Processor (family: 0x17, model: 0x8, stepping: 0x2) [ 0.000000] Memory: 16241112K/16727236K available (14339K kernel code, 2400K rwdata, 5008K rodata, 2732K init, 4972K bss, 486124K reserved, 0K cma-reserved) [ 0.153515] x86/mm: Memory block size: 128MB [ 0.000005] Calibrating delay loop (skipped), value calculated using timer frequency.. 6399.47 BogoMIPS (lpj=12798944) [ 0.152034] smpboot: Total of 16 processors activated (102391.55 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:32 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 32 秒 (日本時間)
4511e6932 / 422032Ignacio SantosOctober 7, 2010 11:57:36 UTC 2010 年 10 月 7 日 (木) 20 時 57 分 36 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:15 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 15 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:02 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 2 秒 (日本時間)

## 13×10200+419

### c150

name 名前 Dmitry Domanov April 22, 2013 05:24:15 UTC 2013 年 4 月 22 日 (月) 14 時 24 分 15 秒 (日本時間) `279815170781717093926933511424573977194953793983579457317864042683107781557318278791866863569188129482983018310819633698432171123622716888298081917257<150>` ```3712790931475469981646468432165574406827485481<46> 75365183751544563173197402176112208281307088952728810034445144966592804806048401433173425971690042577697<104>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=2605001653 Step 1 took 60759ms Step 2 took 23753ms ********** Factor found in step 2: 3712790931475469981646468432165574406827485481 Found probable prime factor of 46 digits: 3712790931475469981646468432165574406827485481```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaMarch 12, 2008 09:00:00 UTC 2008 年 3 月 12 日 (水) 18 時 0 分 0 秒 (日本時間)
351e6300Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
403e61110110Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
1000Dmitry DomanovMarch 21, 2013 20:42:40 UTC 2013 年 3 月 22 日 (金) 5 時 42 分 40 秒 (日本時間)
4511e6632 / 422032Ignacio SantosOctober 7, 2010 12:39:08 UTC 2010 年 10 月 7 日 (木) 21 時 39 分 8 秒 (日本時間)
600Dmitry DomanovApril 18, 2013 15:48:26 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 26 秒 (日本時間)

## 13×10201+419

### c187

name 名前 Warut Roonguthai March 16, 2013 14:24:10 UTC 2013 年 3 月 16 日 (土) 23 時 24 分 10 秒 (日本時間) `2198468508871881237404066372832744124222111440255138145490800287034395755021035680487946387451043688799583646813559137448391771623764429320622856419785625924237422460141639709345904160651<187>` ```2043228856881952066944672917<28> 1075977613308981457219598982450419470029213881547970030077530036705111351084985291392712035625423411460780385393930216260215226603462067160656316793670772300703<160>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1302932986 Step 1 took 10514ms Step 2 took 6661ms ********** Factor found in step 2: 2043228856881952066944672917 Found probable prime factor of 28 digits: 2043228856881952066944672917 Probable prime cofactor 1075977613308981457219598982450419470029213881547970030077530036705111351084985291392712035625423411460780385393930216260215226603462067160656316793670772300703 has 160 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10202+419

### c177

name 名前 Dmitry Domanov March 19, 2013 11:32:45 UTC 2013 年 3 月 19 日 (火) 20 時 32 分 45 秒 (日本時間) `122617544177014072174364158172629982632319923794872115143892807769481460194236200788294622766252916285040496308150770664246957193632735665115595665665002784263641280669364473163<177>` ```28675095120154105182625820979255201463<38> 4276098951484667408647101007356682065237671093158749527690510395124686725454204318348978960229652359630336843025206602090284843674797285901<139>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1064351160 Step 1 took 22764ms Step 2 took 8939ms ********** Factor found in step 2: 28675095120154105182625820979255201463 Found probable prime factor of 38 digits: 28675095120154105182625820979255201463```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:13:53 UTC 2013 年 3 月 19 日 (火) 3 時 13 分 53 秒 (日本時間)

## 13×10203+419

### c174

name 名前 Warut Roonguthai March 16, 2013 19:47:45 UTC 2013 年 3 月 17 日 (日) 4 時 47 分 45 秒 (日本時間) `478498304243424178531245282706745701482427564413086608384302265651273809456123566680251746867519399508020787251198644977680611599440833683828877683710424154929387039314756033<174>` `611088027410494567360465702304842219<36>` `783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507<138>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3825729912 Step 1 took 11294ms Step 2 took 6209ms ********** Factor found in step 2: 611088027410494567360465702304842219 Found probable prime factor of 36 digits: 611088027410494567360465702304842219 Composite cofactor 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507 has 138 digits``` `GMP-ECM 6.3`

### c138

name 名前 Erik Branger April 11, 2014 06:10:58 UTC 2014 年 4 月 11 日 (金) 15 時 10 分 58 秒 (日本時間) `783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507<138>` ```1166133065569817335486106531640716357754829<43> 671472944017290372169883686306166752832060417497435094594181372991263304496545150215876636570383<96>``` ```Number: 14449_203 N = 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507 (138 digits) Divisors found: r1=1166133065569817335486106531640716357754829 (pp43) r2=671472944017290372169883686306166752832060417497435094594181372991263304496545150215876636570383 (pp96) Version: Msieve v. 1.51 (SVN Official Release) Total time: 135.24 hours. Factorization parameters were as follows: # Murphy_E = 2.694e-11, selected by Erik Branger # expecting poly E from 2.76e-011 to > 3.17e-011 n: 783026802654073158504401141503535979128975562637104245220219887281304034566268475924746324042961329087938290518638538808461715560516629507 Y0: -686163601630943327657477641 Y1: 221143646750987 c0: -89251823644894962203765318537571600 c1: 204261442952973012463562652204 c2: 40419494187721048087880 c3: -85685603762804369 c4: -10795532772 c5: 5148 skew: 2377112.08 type: gnfs # selected mechanically rlim: 16000000 alim: 16000000 lpbr: 28 lpba: 28 mfbr: 55 mfba: 55 rlambda: 2.6 alambda: 2.6 Factor base limits: 16000000/16000000 Large primes per side: 3 Large prime bits: 28/28 Sieved algebraic special-q in [0, 0) Total raw relations: 22947797 Relations: 3966280 relations Pruned matrix : 2397445 x 2397673 Polynomial selection time: 0.00 hours. Total sieving time: 130.84 hours. Total relation processing time: 0.13 hours. Matrix solve time: 4.16 hours. time per square root: 0.11 hours. Prototype def-par.txt line would be: gnfs,137,5,65,2000,1e-05,0.28,250,20,50000,3600,16000000,16000000,28,28,55,55,2.6,2.6,100000 total time: 135.24 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel Windows-7-6.1.7601-SP1 processors: 8, speed: 3.50GHz``` `GGNFS, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 17, 2013 18:09:30 UTC 2013 年 3 月 18 日 (月) 3 時 9 分 30 秒 (日本時間)
403e63100Warut RoonguthaiMarch 17, 2013 18:09:30 UTC 2013 年 3 月 18 日 (月) 3 時 9 分 30 秒 (日本時間)
4511e62100 / 3730850Serge BatalovNovember 8, 2013 01:45:55 UTC 2013 年 11 月 8 日 (金) 10 時 45 分 55 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:09:02 UTC 2013 年 11 月 9 日 (土) 2 時 9 分 2 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:23:18 UTC 2014 年 1 月 6 日 (月) 11 時 23 分 18 秒 (日本時間)

## 13×10205+419

### c190

name 名前 Warut Roonguthai March 16, 2013 15:06:11 UTC 2013 年 3 月 17 日 (日) 0 時 6 分 11 秒 (日本時間) `1465212876747640413734193808258605476410252906349591256649694490167260614394027020837385291728305562723595952195720457764024244223873396432033245429534241286007656393168198354512586551943101<190>` ```29018729986332620651458650858548677<35> 50491971131670246673315121358166017002669686013005748745241845886943784229922795894496429798635448063957426412400841995210826089995059086423127319454613913<155>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3437213011 Step 1 took 10483ms Step 2 took 6552ms ********** Factor found in step 2: 29018729986332620651458650858548677 Found probable prime factor of 35 digits: 29018729986332620651458650858548677 Probable prime cofactor 50491971131670246673315121358166017002669686013005748745241845886943784229922795894496429798635448063957426412400841995210826089995059086423127319454613913 has 155 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10206+419

### c172

name 名前 Bob Backstrom May 29, 2024 18:51:51 UTC 2024 年 5 月 30 日 (木) 3 時 51 分 51 秒 (日本時間) `4909393091000796448844033878574165704806430319524348120954107398556017715547752684099328175252689937504924151288390647879094073765435193304547879524319874662819582849343993<172>` ```12407874736710997176252745173602888031213267498712473045091536167340115273332787<80> 395667525275335593590921515546963289834056182808876264458286114022334042464039570446611611939<93>``` ```Number: n N=4909393091000796448844033878574165704806430319524348120954107398556017715547752684099328175252689937504924151288390647879094073765435193304547879524319874662819582849343993 ( 172 digits) SNFS difficulty: 207 digits. Divisors found: Wed May 29 11:15:47 2024 prp80 factor: 12407874736710997176252745173602888031213267498712473045091536167340115273332787 Wed May 29 11:15:47 2024 prp93 factor: 395667525275335593590921515546963289834056182808876264458286114022334042464039570446611611939 Wed May 29 11:15:47 2024 elapsed time 03:48:59 (Msieve 1.44 - dependency 1) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.902). Factorization parameters were as follows: # # N = 13x10^206+41 = 14(205)9 # n: 4909393091000796448844033878574165704806430319524348120954107398556017715547752684099328175252689937504924151288390647879094073765435193304547879524319874662819582849343993 m: 100000000000000000000000000000000000000000 deg: 5 c5: 130 c0: 41 skew: 0.79 # Murphy_E = 6.74e-12 type: snfs lss: 1 rlim: 19800000 alim: 19800000 lpbr: 27 lpba: 27 mfbr: 56 mfba: 56 rlambda: 2.6 alambda: 2.6 Factor base limits: 19800000/19800000 Large primes per side: 3 Large prime bits: 27/27 Max factor residue bits: 56/56 Sieved special-q in [100000, 6700000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 4949039 hash collisions in 21211822 relations (16156567 unique) Msieve: matrix is 2638909 x 2639134 (741.6 MB) Sieving start time: 2024/05/28 06:43:19 Sieving end time : 2024/05/29 07:24:11 Total sieving time: 24hrs 40min 52secs. Total relation processing time: 3hrs 35min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 3min 16sec. Prototype def-par.txt line would be: snfs,207,5,0,0,0,0,0,0,0,0,19800000,19800000,27,27,56,56,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ----------```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:10 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 10 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:00 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 0 秒 (日本時間)
4511e643001000Dmitry DomanovApril 16, 2013 22:01:40 UTC 2013 年 4 月 17 日 (水) 7 時 1 分 40 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:03 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 3 秒 (日本時間)
3000ebinaOctober 17, 2021 21:41:28 UTC 2021 年 10 月 18 日 (月) 6 時 41 分 28 秒 (日本時間)

## 13×10208+419

### c162

name 名前 Warut Roonguthai March 16, 2013 15:28:30 UTC 2013 年 3 月 17 日 (日) 0 時 28 分 30 秒 (日本時間) `960763225439169889539326543070290255823084334702390224402108128986101678948496369516611608218625991695644813888587007788703077697162517575599023387808462436951033<162>` `38970777254455754345447527573829<32>` `24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877<131>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1608610304 Step 1 took 7784ms Step 2 took 5632ms ********** Factor found in step 2: 38970777254455754345447527573829 Found probable prime factor of 32 digits: 38970777254455754345447527573829 Composite cofactor 24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877 has 131 digits``` `GMP-ECM 6.3`

### c131

name 名前 Warut Roonguthai March 17, 2013 14:48:39 UTC 2013 年 3 月 17 日 (日) 23 時 48 分 39 秒 (日本時間) `24653427340336669152202925262629813200574100351922862593733498102063264884886242114564760468895507121256791735277060234465495107877<131>` ```67971267160590809015878229436840910482467<41> 362703659504975757466448829363489380976396178676923027786723881456063928694712815993374231<90>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=709073642 Step 1 took 16318ms Step 2 took 10904ms ********** Factor found in step 2: 67971267160590809015878229436840910482467 Found probable prime factor of 41 digits: 67971267160590809015878229436840910482467 Probable prime cofactor 362703659504975757466448829363489380976396178676923027786723881456063928694712815993374231 has 90 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10210+419

### c206

name 名前 Bob Backstrom January 14, 2020 17:04:33 UTC 2020 年 1 月 15 日 (水) 2 時 4 分 33 秒 (日本時間) `42469919862528136321908924890313264662739832537839065139056318380654624810927183688937239259193920921009215972610168605581854236701197978431814543660711077135175221088602053583971198860499380919245080839859<206>` ```7885900221419905178233166286538094830545998748872796343<55> 20601926257683138629916097166969971125964664262687578059<56> 261410083271925916063246131503768351586305706986531487937072074106961939091403231634891475790607<96>``` ```Number: n N=42469919862528136321908924890313264662739832537839065139056318380654624810927183688937239259193920921009215972610168605581854236701197978431814543660711077135175221088602053583971198860499380919245080839859 ( 206 digits) SNFS difficulty: 211 digits. Divisors found: Tue Jan 14 20:33:08 2020 found factor: 7885900221419905178233166286538094830545998748872796343 Tue Jan 14 20:42:48 2020 found factor: 7885900221419905178233166286538094830545998748872796343 Tue Jan 14 20:48:12 2020 p55 factor: 7885900221419905178233166286538094830545998748872796343 Tue Jan 14 20:48:12 2020 p56 factor: 20601926257683138629916097166969971125964664262687578059 Tue Jan 14 20:48:12 2020 p96 factor: 261410083271925916063246131503768351586305706986531487937072074106961939091403231634891475790607 Tue Jan 14 20:48:12 2020 elapsed time 05:58:37 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=1.799). Factorization parameters were as follows: # # N = 13x10^210+41 = 14(209)9 # n: 42469919862528136321908924890313264662739832537839065139056318380654624810927183688937239259193920921009215972610168605581854236701197978431814543660711077135175221088602053583971198860499380919245080839859 m: 1000000000000000000000000000000000000000000 deg: 5 c5: 13 c0: 41 skew: 1.26 # Murphy_E = 5.917e-12 type: snfs lss: 1 rlim: 23000000 alim: 23000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 23000000/23000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 51500000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 9656685 hash collisions in 64042004 relations (56767810 unique) Msieve: matrix is 2756554 x 2756780 (959.0 MB) Sieving start time: 2020/01/13 17:23:27 Sieving end time : 2020/01/14 14:48:08 Total sieving time: 21hrs 24min 41secs. Total relation processing time: 5hrs 20min 19sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 20min 17sec. Prototype def-par.txt line would be: snfs,211,5,0,0,0,0,0,0,0,0,23000000,23000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.149937] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283572K/16703460K available (12300K kernel code, 2481K rwdata, 4264K rodata, 2428K init, 2388K bss, 419888K reserved, 0K cma-reserved) [ 0.184567] x86/mm: Memory block size: 128MB [ 0.024000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.57 BogoMIPS (lpj=11977148) [ 0.182215] smpboot: Total of 16 processors activated (95817.18 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:30 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:09 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 9 秒 (日本時間)
4511e649501000Dmitry DomanovApril 10, 2013 12:44:26 UTC 2013 年 4 月 10 日 (水) 21 時 44 分 26 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:04 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 4 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:27:23 UTC 2014 年 1 月 6 日 (月) 11 時 27 分 23 秒 (日本時間)
1800Serge BatalovMay 24, 2014 03:26:03 UTC 2014 年 5 月 24 日 (土) 12 時 26 分 3 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:22 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 22 秒 (日本時間)

## 13×10211+419

### c197

name 名前 Dmitry Domanov April 18, 2013 11:39:37 UTC 2013 年 4 月 18 日 (木) 20 時 39 分 37 秒 (日本時間) `47829980857021391722175287132960166679635848368524925731687969373328145950567205061885013534872366418690881736688657373386156978947220302250850160544493599534075957733596120476145271577225546592827<197>` `327556805878026602908233270213194857667<39>` `146020415386612353985498565011890533640104291694499671804436876162738366074208185538144656465291259089509924325936214613370769134048849249766082520286915165481<159>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3827072370 Step 1 took 98252ms Step 2 took 32588ms ********** Factor found in step 2: 327556805878026602908233270213194857667 Found probable prime factor of 39 digits: 327556805878026602908233270213194857667```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:36 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 36 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:16 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 16 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:52:37 UTC 2013 年 4 月 17 日 (水) 16 時 52 分 37 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:03 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 3 秒 (日本時間)

## 13×10213+419

### c203

name 名前 Bob Backstrom August 20, 2020 17:00:46 UTC 2020 年 8 月 21 日 (金) 2 時 0 分 46 秒 (日本時間) `16699771349145602895271220937429106892997111702634665240762208652001358031628704244678312719124615905811507278175812796174480200211591420457791915860672883561222814645432856983472122903018538319818290447<203>` ```387840086888078280263019487996446113821373450767<48> 15155897917157221909251373910215151412791184569150740779174148205825627<71> 2841032213258265362127725921098416107580787971315638259567053124019103964368792400083<85>``` ```Number: n N=16699771349145602895271220937429106892997111702634665240762208652001358031628704244678312719124615905811507278175812796174480200211591420457791915860672883561222814645432856983472122903018538319818290447 ( 203 digits) SNFS difficulty: 214 digits. Divisors found: Fri Aug 21 02:45:22 2020 found factor: 15155897917157221909251373910215151412791184569150740779174148205825627 Fri Aug 21 02:52:37 2020 p48 factor: 387840086888078280263019487996446113821373450767 Fri Aug 21 02:52:37 2020 p71 factor: 15155897917157221909251373910215151412791184569150740779174148205825627 Fri Aug 21 02:52:37 2020 p85 factor: 2841032213258265362127725921098416107580787971315638259567053124019103964368792400083 Fri Aug 21 02:52:37 2020 elapsed time 04:49:50 (Msieve 1.54 - dependency 4) Version: Total time: 0.00 hours. Scaled time: 0.00 units (timescale=2.120). Factorization parameters were as follows: # # N = 13x10^213+41 = 14(212)9 # n: 16699771349145602895271220937429106892997111702634665240762208652001358031628704244678312719124615905811507278175812796174480200211591420457791915860672883561222814645432856983472122903018538319818290447 m: 100000000000000000000000000000000000 deg: 6 c6: 13000 c0: 41 skew: 0.38 # Murphy_E = 4.308e-12 type: snfs lss: 1 rlim: 26000000 alim: 26000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.6 alambda: 2.6 Factor base limits: 26000000/26000000 Large primes per side: 3 Large prime bits: 29/29 Max factor residue bits: 57/57 Sieved special-q in [100000, 60200000) Primes: , , Relations: Max relations in full relation-set: 28 Initial matrix: Pruned matrix : Msieve: found 8241064 hash collisions in 59350211 relations (52777138 unique) Msieve: matrix is 3175681 x 3175906 (1116.6 MB) Sieving start time: 2020/08/19 19:27:25 Sieving end time : 2020/08/20 22:01:57 Total sieving time: 26hrs 34min 32secs. Total relation processing time: 4hrs 2min 16sec. Matrix solve time: 0.00 hours. Total square root time: 0hrs 29min 0sec. Prototype def-par.txt line would be: snfs,214,6,0,0,0,0,0,0,0,0,26000000,26000000,29,29,57,57,2.6,2.6,100000 total time: 0.00 hours. --------- CPU info (if available) ---------- [ 0.154206] smpboot: CPU0: AMD Ryzen 7 1700 Eight-Core Processor (family: 0x17, model: 0x1, stepping: 0x1) [ 0.000000] Memory: 16283136K/16703460K available (12300K kernel code, 2481K rwdata, 4272K rodata, 2436K init, 2720K bss, 420324K reserved, 0K cma-reserved) [ 0.188728] x86/mm: Memory block size: 128MB [ 0.028000] Calibrating delay loop (skipped), value calculated using timer frequency.. 5988.50 BogoMIPS (lpj=11977004) [ 0.186225] smpboot: Total of 16 processors activated (95816.03 BogoMIPS)```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:43 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 43 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:24 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 24 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:52:51 UTC 2013 年 4 月 17 日 (水) 16 時 52 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

## 13×10214+419

### c168

composite cofactor 合成数の残り `231573278144404042517762298734778662111736216810839892585903036113785062779559523551371063720484352248936230152813032658649850767504933416925629452586044361265826106799<168>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:14:50 UTC 2013 年 3 月 19 日 (火) 3 時 14 分 50 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:33 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 33 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:10 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

## 13×10215+419

### c155

composite cofactor 合成数の残り `52034330707729854453704343618167185210061947619768945257511594088687912782107910539779953094761802518458059676784023220346321861049418454146953494702827791<155>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:18 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 18 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:43:53 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 53 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovMarch 21, 2013 20:43:53 UTC 2013 年 3 月 22 日 (金) 5 時 43 分 53 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:04 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 4 秒 (日本時間)

## 13×10216+419

### c205

composite cofactor 合成数の残り `4455023265090075942855518659036527571104689393652005396569900715353251661640922651528878364223574606644903900271256325297319898712456438545827987250871175978363505768270067302640213895603248956308425688509<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:29 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 29 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:02 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 2 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:23 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 23 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:05 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 5 秒 (日本時間)

## 13×10217+419

### c200

composite cofactor 合成数の残り `12629118317700724984690777332648347699626629493714746330245544187734659308405218745586751875692566975430598593012199085438820000023562999558596460101554521384553447529628113447106945968182926096136203<200>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:46 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 46 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:10 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 10 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:35 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 35 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:05 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 5 秒 (日本時間)

## 13×10218+419

### c219

name 名前 Alfred Reich March 4, 2017 19:04:22 UTC 2017 年 3 月 5 日 (日) 4 時 4 分 22 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<219>` ```1986678560604733846358643845135592826608059500195201650031385071569608599534591180232772666674652352667<103> 72706499837838066336324944079269135054056035780069304511069629306176581054576518220912365116864902227426685228207347<116>``` ```# # siever: 14e # qrange: 10M .. 60M # params: rlim=alim: 31000000, lpbr=lpba: 31, mfbr=mfba: 60, rlambda=alambda: 2.6 # Fri Mar 03 13:13:36 2017 Fri Mar 03 13:13:36 2017 Fri Mar 03 13:13:36 2017 Msieve v. 1.53 (SVN 988) Fri Mar 03 13:13:36 2017 random seeds: 5b060668 072ecc79 Fri Mar 03 13:13:36 2017 factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (219 digits) Fri Mar 03 13:13:38 2017 searching for 15-digit factors Fri Mar 03 13:13:39 2017 commencing number field sieve (219-digit input) Fri Mar 03 13:13:39 2017 R0: -1000000000000000000000000000000000000 Fri Mar 03 13:13:39 2017 R1: 1 Fri Mar 03 13:13:39 2017 A0: 41 Fri Mar 03 13:13:39 2017 A1: 0 Fri Mar 03 13:13:39 2017 A2: 0 Fri Mar 03 13:13:39 2017 A3: 0 Fri Mar 03 13:13:39 2017 A4: 0 Fri Mar 03 13:13:39 2017 A5: 0 Fri Mar 03 13:13:39 2017 A6: 1300 Fri Mar 03 13:13:39 2017 skew 0.56, size 3.028e-011, alpha 0.974, combined = 1.453e-012 rroots = 0 Fri Mar 03 13:13:39 2017 Fri Mar 03 13:13:39 2017 commencing relation filtering Fri Mar 03 13:13:39 2017 estimated available RAM is 12279.2 MB Fri Mar 03 13:13:39 2017 commencing duplicate removal, pass 1 Fri Mar 03 13:13:50 2017 error -9 reading relation 842902 Fri Mar 03 13:15:39 2017 error -15 reading relation 8555105 Fri Mar 03 13:36:16 2017 error -15 reading relation 100499669 Fri Mar 03 13:45:11 2017 skipped 11 relations with b > 2^32 Fri Mar 03 13:45:11 2017 skipped 4 relations with composite factors Fri Mar 03 13:45:11 2017 found 24953270 hash collisions in 140443201 relations Fri Mar 03 13:45:34 2017 added 1219632 free relations Fri Mar 03 13:45:34 2017 commencing duplicate removal, pass 2 Fri Mar 03 13:48:08 2017 found 22370205 duplicates and 119292628 unique relations Fri Mar 03 13:48:08 2017 memory use: 660.8 MB Fri Mar 03 13:48:08 2017 reading ideals above 62586880 Fri Mar 03 13:48:08 2017 commencing singleton removal, initial pass Fri Mar 03 14:10:34 2017 memory use: 3012.0 MB Fri Mar 03 14:10:35 2017 reading all ideals from disk Fri Mar 03 14:10:46 2017 memory use: 2091.5 MB Fri Mar 03 14:10:52 2017 commencing in-memory singleton removal Fri Mar 03 14:10:58 2017 begin with 119292628 relations and 124236180 unique ideals Fri Mar 03 14:11:59 2017 reduce to 39770695 relations and 30387446 ideals in 24 passes Fri Mar 03 14:11:59 2017 max relations containing the same ideal: 29 Fri Mar 03 14:12:03 2017 reading ideals above 720000 Fri Mar 03 14:12:03 2017 commencing singleton removal, initial pass Fri Mar 03 14:22:07 2017 memory use: 753.0 MB Fri Mar 03 14:22:07 2017 reading all ideals from disk Fri Mar 03 14:22:08 2017 memory use: 1450.1 MB Fri Mar 03 14:22:14 2017 keeping 37578093 ideals with weight <= 200, target excess is 213063 Fri Mar 03 14:22:20 2017 commencing in-memory singleton removal Fri Mar 03 14:22:24 2017 begin with 39770701 relations and 37578093 unique ideals Fri Mar 03 14:24:01 2017 reduce to 39705314 relations and 37512654 ideals in 18 passes Fri Mar 03 14:24:01 2017 max relations containing the same ideal: 200 Fri Mar 03 14:24:30 2017 removing 4377841 relations and 3977841 ideals in 400000 cliques Fri Mar 03 14:24:32 2017 commencing in-memory singleton removal Fri Mar 03 14:24:36 2017 begin with 35327473 relations and 37512654 unique ideals Fri Mar 03 14:25:38 2017 reduce to 34879298 relations and 33079755 ideals in 13 passes Fri Mar 03 14:25:38 2017 max relations containing the same ideal: 190 Fri Mar 03 14:26:04 2017 removing 3207522 relations and 2807522 ideals in 400000 cliques Fri Mar 03 14:26:06 2017 commencing in-memory singleton removal Fri Mar 03 14:26:09 2017 begin with 31671776 relations and 33079755 unique ideals Fri Mar 03 14:26:56 2017 reduce to 31403876 relations and 30000772 ideals in 11 passes Fri Mar 03 14:26:56 2017 max relations containing the same ideal: 178 Fri Mar 03 14:27:18 2017 removing 2828508 relations and 2428508 ideals in 400000 cliques Fri Mar 03 14:27:19 2017 commencing in-memory singleton removal Fri Mar 03 14:27:23 2017 begin with 28575368 relations and 30000772 unique ideals Fri Mar 03 14:27:56 2017 reduce to 28351388 relations and 27345194 ideals in 9 passes Fri Mar 03 14:27:56 2017 max relations containing the same ideal: 169 Fri Mar 03 14:28:16 2017 removing 2626650 relations and 2226650 ideals in 400000 cliques Fri Mar 03 14:28:17 2017 commencing in-memory singleton removal Fri Mar 03 14:28:20 2017 begin with 25724738 relations and 27345194 unique ideals Fri Mar 03 14:28:53 2017 reduce to 25514346 relations and 24905224 ideals in 10 passes Fri Mar 03 14:28:53 2017 max relations containing the same ideal: 155 Fri Mar 03 14:29:11 2017 removing 2303477 relations and 1941509 ideals in 361968 cliques Fri Mar 03 14:29:12 2017 commencing in-memory singleton removal Fri Mar 03 14:29:15 2017 begin with 23210869 relations and 24905224 unique ideals Fri Mar 03 14:29:45 2017 reduce to 23037904 relations and 22788394 ideals in 10 passes Fri Mar 03 14:29:45 2017 max relations containing the same ideal: 146 Fri Mar 03 14:30:05 2017 relations with 0 large ideals: 7637 Fri Mar 03 14:30:05 2017 relations with 1 large ideals: 2491 Fri Mar 03 14:30:05 2017 relations with 2 large ideals: 17309 Fri Mar 03 14:30:05 2017 relations with 3 large ideals: 167877 Fri Mar 03 14:30:05 2017 relations with 4 large ideals: 902768 Fri Mar 03 14:30:05 2017 relations with 5 large ideals: 2828445 Fri Mar 03 14:30:05 2017 relations with 6 large ideals: 5383436 Fri Mar 03 14:30:05 2017 relations with 7+ large ideals: 13727941 Fri Mar 03 14:30:05 2017 commencing 2-way merge Fri Mar 03 14:30:29 2017 reduce to 13034005 relation sets and 12784495 unique ideals Fri Mar 03 14:30:29 2017 commencing full merge Fri Mar 03 14:35:17 2017 memory use: 1600.6 MB Fri Mar 03 14:35:20 2017 found 7071812 cycles, need 7038695 Fri Mar 03 14:35:21 2017 weight of 7038695 cycles is about 492957789 (70.04/cycle) Fri Mar 03 14:35:21 2017 distribution of cycle lengths: Fri Mar 03 14:35:21 2017 1 relations: 1056853 Fri Mar 03 14:35:21 2017 2 relations: 929084 Fri Mar 03 14:35:21 2017 3 relations: 858623 Fri Mar 03 14:35:21 2017 4 relations: 748542 Fri Mar 03 14:35:21 2017 5 relations: 633301 Fri Mar 03 14:35:21 2017 6 relations: 551370 Fri Mar 03 14:35:21 2017 7 relations: 470180 Fri Mar 03 14:35:21 2017 8 relations: 392976 Fri Mar 03 14:35:21 2017 9 relations: 325876 Fri Mar 03 14:35:21 2017 10+ relations: 1071890 Fri Mar 03 14:35:21 2017 heaviest cycle: 24 relations Fri Mar 03 14:35:22 2017 commencing cycle optimization Fri Mar 03 14:35:34 2017 start with 37636437 relations Fri Mar 03 14:36:44 2017 pruned 618984 relations Fri Mar 03 14:36:44 2017 memory use: 1320.6 MB Fri Mar 03 14:36:44 2017 distribution of cycle lengths: Fri Mar 03 14:36:44 2017 1 relations: 1056853 Fri Mar 03 14:36:44 2017 2 relations: 943665 Fri Mar 03 14:36:44 2017 3 relations: 879807 Fri Mar 03 14:36:44 2017 4 relations: 758681 Fri Mar 03 14:36:44 2017 5 relations: 642080 Fri Mar 03 14:36:44 2017 6 relations: 554329 Fri Mar 03 14:36:44 2017 7 relations: 471469 Fri Mar 03 14:36:44 2017 8 relations: 391345 Fri Mar 03 14:36:44 2017 9 relations: 322944 Fri Mar 03 14:36:44 2017 10+ relations: 1017522 Fri Mar 03 14:36:44 2017 heaviest cycle: 24 relations Fri Mar 03 14:36:55 2017 RelProcTime: 4996 Fri Mar 03 14:36:55 2017 Fri Mar 03 14:36:55 2017 commencing linear algebra Fri Mar 03 14:36:57 2017 read 7038695 cycles Fri Mar 03 14:37:12 2017 cycles contain 22732490 unique relations Fri Mar 03 14:42:14 2017 read 22732490 relations Fri Mar 03 14:42:55 2017 using 20 quadratic characters above 4294917295 Fri Mar 03 14:45:05 2017 building initial matrix Fri Mar 03 14:49:15 2017 memory use: 2797.3 MB Fri Mar 03 14:49:23 2017 read 7038695 cycles Fri Mar 03 14:49:24 2017 matrix is 7038518 x 7038695 (2100.3 MB) with weight 604654910 (85.90/col) Fri Mar 03 14:49:24 2017 sparse part has weight 480196195 (68.22/col) Fri Mar 03 14:50:46 2017 filtering completed in 2 passes Fri Mar 03 14:50:47 2017 matrix is 7032527 x 7032704 (2099.9 MB) with weight 604506312 (85.96/col) Fri Mar 03 14:50:47 2017 sparse part has weight 480152039 (68.27/col) Fri Mar 03 14:51:16 2017 matrix starts at (0, 0) Fri Mar 03 14:51:17 2017 matrix is 7032527 x 7032704 (2099.9 MB) with weight 604506312 (85.96/col) Fri Mar 03 14:51:17 2017 sparse part has weight 480152039 (68.27/col) Fri Mar 03 14:51:17 2017 saving the first 48 matrix rows for later Fri Mar 03 14:51:20 2017 matrix includes 64 packed rows Fri Mar 03 14:51:23 2017 matrix is 7032479 x 7032704 (2014.4 MB) with weight 488418845 (69.45/col) Fri Mar 03 14:51:23 2017 sparse part has weight 457744006 (65.09/col) Fri Mar 03 14:51:23 2017 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Fri Mar 03 14:52:02 2017 commencing Lanczos iteration (16 threads) Fri Mar 03 14:52:02 2017 memory use: 1659.8 MB Fri Mar 03 14:52:25 2017 linear algebra at 0.0%, ETA 28h30m Fri Mar 03 14:52:32 2017 checkpointing every 250000 dimensions Sat Mar 04 14:48:09 2017 lanczos halted after 111213 iterations (dim = 7032473) Sat Mar 04 14:48:23 2017 recovered 33 nontrivial dependencies Sat Mar 04 14:48:26 2017 BLanczosTime: 87091 Sat Mar 04 14:48:26 2017 Sat Mar 04 14:48:26 2017 commencing square root phase Sat Mar 04 14:48:26 2017 reading relations for dependency 1 Sat Mar 04 14:48:29 2017 read 3512726 cycles Sat Mar 04 14:48:36 2017 cycles contain 11359198 unique relations Sat Mar 04 14:51:38 2017 read 11359198 relations Sat Mar 04 14:52:55 2017 multiplying 11359198 relations Sat Mar 04 15:10:01 2017 multiply complete, coefficients have about 387.17 million bits Sat Mar 04 15:10:03 2017 initial square root is modulo 8851267 Sat Mar 04 15:30:11 2017 GCD is N, no factor found Sat Mar 04 15:30:11 2017 reading relations for dependency 2 Sat Mar 04 15:30:14 2017 read 3519253 cycles Sat Mar 04 15:30:22 2017 cycles contain 11374664 unique relations Sat Mar 04 15:33:19 2017 read 11374664 relations Sat Mar 04 15:34:41 2017 multiplying 11374664 relations Sat Mar 04 15:52:44 2017 multiply complete, coefficients have about 387.68 million bits Sat Mar 04 15:52:46 2017 initial square root is modulo 9042433 Sat Mar 04 16:13:34 2017 GCD is 1, no factor found Sat Mar 04 16:13:34 2017 reading relations for dependency 3 Sat Mar 04 16:13:36 2017 read 3517322 cycles Sat Mar 04 16:13:44 2017 cycles contain 11368542 unique relations Sat Mar 04 16:16:46 2017 read 11368542 relations Sat Mar 04 16:18:04 2017 multiplying 11368542 relations Sat Mar 04 16:36:08 2017 multiply complete, coefficients have about 387.47 million bits Sat Mar 04 16:36:10 2017 initial square root is modulo 8964217 Sat Mar 04 16:57:29 2017 sqrtTime: 7743 Sat Mar 04 16:57:29 2017 p103 factor: 1986678560604733846358643845135592826608059500195201650031385071569608599534591180232772666674652352667 Sat Mar 04 16:57:29 2017 p116 factor: 72706499837838066336324944079269135054056035780069304511069629306176581054576518220912365116864902227426685228207347 Sat Mar 04 16:57:29 2017 elapsed time 27:43:53 # # P103-1 = 2 * 7^2 * 31 * 691 * 19790024489 * 71738368909397 * 32663298405247180811291111452708516063052622676151948556372083931725233702 # P103+1 = 2^2 * 3^4 * 61 * 1049 * 1907 * 23623 * 10006364591033 * 17218694662530034826262745066625587049123902035044745053178183308386356055968 # P116-1 = 2 * 3 * 941 * 99349994561 * 85708409854983144916936766440814479129 * 1512310886853559736472416617291917704924128746754954858806032279 # P116+1 = 2 * 2 * 122483 * 34810380601 * 7642622279 * 52490422752346737913306477071975008326243 * 10626890194990729589407110456923320058486756798987 #```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:15:57 UTC 2013 年 3 月 19 日 (火) 3 時 15 分 57 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:23 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 23 秒 (日本時間)
4511e649501000Dmitry DomanovMarch 21, 2013 20:44:23 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 23 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:14:53 UTC 2013 年 11 月 9 日 (土) 2 時 14 分 53 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:04 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 4 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:27 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 27 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:35 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 35 秒 (日本時間)

## 13×10219+419

### c168

name 名前 Warut Roonguthai March 16, 2013 16:35:09 UTC 2013 年 3 月 17 日 (日) 1 時 35 分 9 秒 (日本時間) `250983052914014874090577473000999224684197156311714461290866851356270778322202530394515624755894403361318552255635645354980814360900617722120492300727510766499204134803<168>` ```29609464266756459256502523733<29> 8476446944560289915551162612959523799718374613813445095421485104048164776715498685492691964303959613092636962833875705880184650668713214791<139>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1705958756 Step 1 took 7754ms Step 2 took 5881ms ********** Factor found in step 2: 29609464266756459256502523733 Found probable prime factor of 29 digits: 29609464266756459256502523733 Probable prime cofactor 8476446944560289915551162612959523799718374613813445095421485104048164776715498685492691964303959613092636962833875705880184650668713214791 has 139 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10220+419

### c187

name 名前 Warut Roonguthai March 16, 2013 17:25:31 UTC 2013 年 3 月 17 日 (日) 2 時 25 分 31 秒 (日本時間) `4304863100855215906606639860283972807380840120698276017542683134116211707756916735140411031064496597189974192277637279372190841245374387233162464242334108554056115754193765165733164131759<187>` `53128254723729662430324917442089<32>` `81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031<155>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1468565207 Step 1 took 10452ms Step 2 took 6490ms ********** Factor found in step 2: 53128254723729662430324917442089 Found probable prime factor of 32 digits: 53128254723729662430324917442089 Composite cofactor 81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031 has 155 digits``` `GMP-ECM 6.3`

### c155

name 名前 Erik Branger November 25, 2018 21:05:59 UTC 2018 年 11 月 26 日 (月) 6 時 5 分 59 秒 (日本時間) `81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031<155>` ```2829633848646863172044670244669696430570909869077976397780927<61> 28635419750368870495193956612745997923402117724697652423501692370021267650997048322780348515753<95>``` ```Number: 14449_220 N = 81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031 (155 digits) SNFS difficulty: 222 digits. Divisors found: r1=2829633848646863172044670244669696430570909869077976397780927 (pp61) r2=28635419750368870495193956612745997923402117724697652423501692370021267650997048322780348515753 (pp95) Version: Msieve v. 1.52 (SVN unknown) Total time: 44.38 hours. Factorization parameters were as follows: n: 81027752995854664891283547901516312410094077839379023342155442099029735040383969586885550912822343220500160827812429388473783117428366221583605907302443031 m: 10000000000000000000000000000000000000000000000000000000 deg: 4 c4: 13 c0: 41 skew: 1.00 type: snfs lss: 1 rlim: 536870912 alim: 536870912 lpbr: 29 lpba: 28 mfbr: 58 mfba: 56 rlambda: 2.8 alambda: 2.8 side: 1 Number of cores used: 6 Number of threads per core: 1 Factor base limits: 536870912/536870912 Large primes per side: 3 Large prime bits: 29/28 Total raw relations: 30137494 Relations: 9114036 relations Total pre-computation time approximately 1000 CPU-days. Pre-computation saved approximately 18 G rational relations. Total batch smoothness checking time: 17.54 hours. Total relation processing time: 0.27 hours. Pruned matrix : 7791933 x 7792158 Matrix solve time: 25.85 hours. time per square root: 0.73 hours. Prototype def-par.txt line would be: snfs,222,4,0,0,0,0,0,0,0,0,536870912,536870912,29,28,58,56,2.8,2.8,100000 total time: 44.38 hours. Intel64 Family 6 Model 158 Stepping 10, GenuineIntel Windows-10-10.0.17134-SP0 processors: 12, speed: 3.19GHz``` `GGNFS, NFS_factory, Msieve`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:30 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:42 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 42 秒 (日本時間)
4511e61300 / 41941000Dmitry DomanovMarch 21, 2013 20:44:42 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 42 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

## 13×10221+419

### c222

name 名前 Alfred Reich April 1, 2017 06:31:42 UTC 2017 年 4 月 1 日 (土) 15 時 31 分 42 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<222>` ```3291659861208257158438545278634621322651960453818188143505937220725796048313<76> 43881947265178172915797615882198995737239246858549359364955202655453806642417076434398814801843300618942063090580345993552002516787050543577135273<146>``` ```Mon Mar 27 19:51:00 2017 Mon Mar 27 19:51:00 2017 Mon Mar 27 19:51:00 2017 Msieve v. 1.53 (SVN 988) Mon Mar 27 19:51:00 2017 random seeds: bc3600b8 04f98114 Mon Mar 27 19:51:00 2017 factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits) Mon Mar 27 19:51:02 2017 searching for 15-digit factors Mon Mar 27 19:51:03 2017 commencing number field sieve (222-digit input) Mon Mar 27 19:51:03 2017 elapsed time 00:00:03 Mon Mar 27 19:52:13 2017 Mon Mar 27 19:52:13 2017 Mon Mar 27 19:52:13 2017 Msieve v. 1.53 (SVN 988) Mon Mar 27 19:52:13 2017 random seeds: ed99fe70 c0ea14ce Mon Mar 27 19:52:13 2017 factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits) Mon Mar 27 19:52:15 2017 searching for 15-digit factors Mon Mar 27 19:52:16 2017 commencing number field sieve (222-digit input) Mon Mar 27 19:52:16 2017 R0: -10000000000000000000000000000000000000 Mon Mar 27 19:52:16 2017 R1: 1 Mon Mar 27 19:52:16 2017 A0: 410 Mon Mar 27 19:52:16 2017 A1: 0 Mon Mar 27 19:52:16 2017 A2: 0 Mon Mar 27 19:52:16 2017 A3: 0 Mon Mar 27 19:52:16 2017 A4: 0 Mon Mar 27 19:52:16 2017 A5: 0 Mon Mar 27 19:52:16 2017 A6: 13 Mon Mar 27 19:52:16 2017 skew 1.78, size 2.797e-011, alpha 0.676, combined = 1.369e-012 rroots = 0 Mon Mar 27 19:52:16 2017 Mon Mar 27 19:52:16 2017 commencing relation filtering Mon Mar 27 19:52:16 2017 estimated available RAM is 12279.2 MB Mon Mar 27 19:52:16 2017 commencing duplicate removal, pass 1 Mon Mar 27 20:21:01 2017 skipped 22 relations with b > 2^32 Mon Mar 27 20:21:01 2017 found 10449797 hash collisions in 116376604 relations Mon Mar 27 20:21:26 2017 added 1220053 free relations Mon Mar 27 20:21:26 2017 commencing duplicate removal, pass 2 Mon Mar 27 20:23:14 2017 found 5737519 duplicates and 111859138 unique relations Mon Mar 27 20:23:14 2017 memory use: 394.4 MB Mon Mar 27 20:23:14 2017 reading ideals above 86179840 Mon Mar 27 20:23:14 2017 commencing singleton removal, initial pass Mon Mar 27 20:45:01 2017 memory use: 3012.0 MB Mon Mar 27 20:45:01 2017 reading all ideals from disk Mon Mar 27 20:45:07 2017 memory use: 1909.5 MB Mon Mar 27 20:45:13 2017 commencing in-memory singleton removal Mon Mar 27 20:45:19 2017 begin with 111859138 relations and 125751211 unique ideals Mon Mar 27 20:46:10 2017 reduce to 22582562 relations and 15493406 ideals in 29 passes Mon Mar 27 20:46:10 2017 max relations containing the same ideal: 34 Mon Mar 27 20:46:12 2017 reading ideals above 720000 Mon Mar 27 20:46:13 2017 commencing singleton removal, initial pass Mon Mar 27 20:52:03 2017 memory use: 689.0 MB Mon Mar 27 20:52:04 2017 reading all ideals from disk Mon Mar 27 20:52:06 2017 memory use: 847.5 MB Mon Mar 27 20:52:09 2017 keeping 25216229 ideals with weight <= 200, target excess is 127268 Mon Mar 27 20:52:12 2017 commencing in-memory singleton removal Mon Mar 27 20:52:15 2017 begin with 22582636 relations and 25216229 unique ideals Mon Mar 27 20:54:07 2017 reduce to 19464444 relations and 22060543 ideals in 39 passes Mon Mar 27 20:54:07 2017 max relations containing the same ideal: 189 Mon Mar 27 20:54:09 2017 filtering wants 1000000 more relations Mon Mar 27 20:54:09 2017 elapsed time 01:01:56 Thu Mar 30 08:51:48 2017 Thu Mar 30 08:51:48 2017 Thu Mar 30 08:51:48 2017 Msieve v. 1.53 (SVN 988) Thu Mar 30 08:51:48 2017 random seeds: f838d720 fb3e1e33 Thu Mar 30 08:51:48 2017 factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits) Thu Mar 30 08:51:50 2017 searching for 15-digit factors Thu Mar 30 08:51:51 2017 commencing number field sieve (222-digit input) Thu Mar 30 08:51:51 2017 elapsed time 00:00:03 Thu Mar 30 08:52:05 2017 Thu Mar 30 08:52:05 2017 Thu Mar 30 08:52:05 2017 Msieve v. 1.53 (SVN 988) Thu Mar 30 08:52:05 2017 random seeds: d559ef80 bcd78a1e Thu Mar 30 08:52:05 2017 factoring 144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449 (222 digits) Thu Mar 30 08:52:07 2017 searching for 15-digit factors Thu Mar 30 08:52:08 2017 commencing number field sieve (222-digit input) Thu Mar 30 08:52:08 2017 R0: -10000000000000000000000000000000000000 Thu Mar 30 08:52:08 2017 R1: 1 Thu Mar 30 08:52:08 2017 A0: 410 Thu Mar 30 08:52:08 2017 A1: 0 Thu Mar 30 08:52:08 2017 A2: 0 Thu Mar 30 08:52:08 2017 A3: 0 Thu Mar 30 08:52:08 2017 A4: 0 Thu Mar 30 08:52:08 2017 A5: 0 Thu Mar 30 08:52:08 2017 A6: 13 Thu Mar 30 08:52:08 2017 skew 1.78, size 2.797e-011, alpha 0.676, combined = 1.369e-012 rroots = 0 Thu Mar 30 08:52:08 2017 Thu Mar 30 08:52:08 2017 commencing relation filtering Thu Mar 30 08:52:08 2017 estimated available RAM is 12279.2 MB Thu Mar 30 08:52:08 2017 commencing duplicate removal, pass 1 Thu Mar 30 09:27:19 2017 skipped 22 relations with b > 2^32 Thu Mar 30 09:27:19 2017 found 12842986 hash collisions in 143870696 relations Thu Mar 30 09:27:44 2017 added 1220053 free relations Thu Mar 30 09:27:44 2017 commencing duplicate removal, pass 2 Thu Mar 30 09:30:04 2017 found 9607277 duplicates and 135483472 unique relations Thu Mar 30 09:30:04 2017 memory use: 522.4 MB Thu Mar 30 09:30:04 2017 reading ideals above 86179840 Thu Mar 30 09:30:04 2017 commencing singleton removal, initial pass Thu Mar 30 09:55:55 2017 memory use: 3012.0 MB Thu Mar 30 09:55:55 2017 reading all ideals from disk Thu Mar 30 09:56:07 2017 memory use: 2309.9 MB Thu Mar 30 09:56:15 2017 keeping 137357796 ideals with weight <= 200, target excess is 10178773 Thu Mar 30 09:56:24 2017 commencing in-memory singleton removal Thu Mar 30 09:56:31 2017 begin with 135483472 relations and 137357796 unique ideals Thu Mar 30 09:58:05 2017 reduce to 50099915 relations and 36259918 ideals in 25 passes Thu Mar 30 09:58:05 2017 max relations containing the same ideal: 53 Thu Mar 30 09:58:11 2017 reading ideals above 720000 Thu Mar 30 09:58:11 2017 commencing singleton removal, initial pass Thu Mar 30 10:10:15 2017 memory use: 1378.0 MB Thu Mar 30 10:10:15 2017 reading all ideals from disk Thu Mar 30 10:10:27 2017 memory use: 1883.4 MB Thu Mar 30 10:10:34 2017 keeping 45992224 ideals with weight <= 200, target excess is 272520 Thu Mar 30 10:10:42 2017 commencing in-memory singleton removal Thu Mar 30 10:10:49 2017 begin with 50099915 relations and 45992224 unique ideals Thu Mar 30 10:12:39 2017 reduce to 49902597 relations and 45794451 ideals in 16 passes Thu Mar 30 10:12:39 2017 max relations containing the same ideal: 200 Thu Mar 30 10:13:17 2017 removing 4417512 relations and 4017512 ideals in 400000 cliques Thu Mar 30 10:13:19 2017 commencing in-memory singleton removal Thu Mar 30 10:13:25 2017 begin with 45485085 relations and 45794451 unique ideals Thu Mar 30 10:14:26 2017 reduce to 45147920 relations and 41435626 ideals in 10 passes Thu Mar 30 10:14:26 2017 max relations containing the same ideal: 193 Thu Mar 30 10:15:00 2017 removing 3200276 relations and 2800276 ideals in 400000 cliques Thu Mar 30 10:15:02 2017 commencing in-memory singleton removal Thu Mar 30 10:15:07 2017 begin with 41947644 relations and 41435626 unique ideals Thu Mar 30 10:16:03 2017 reduce to 41750815 relations and 38436461 ideals in 10 passes Thu Mar 30 10:16:03 2017 max relations containing the same ideal: 184 Thu Mar 30 10:16:34 2017 removing 2817494 relations and 2417494 ideals in 400000 cliques Thu Mar 30 10:16:35 2017 commencing in-memory singleton removal Thu Mar 30 10:16:40 2017 begin with 38933321 relations and 38436461 unique ideals Thu Mar 30 10:17:26 2017 reduce to 38769593 relations and 35853702 ideals in 9 passes Thu Mar 30 10:17:26 2017 max relations containing the same ideal: 177 Thu Mar 30 10:17:55 2017 removing 2605621 relations and 2205621 ideals in 400000 cliques Thu Mar 30 10:17:56 2017 commencing in-memory singleton removal Thu Mar 30 10:18:01 2017 begin with 36163972 relations and 35853702 unique ideals Thu Mar 30 10:18:43 2017 reduce to 36016212 relations and 33498812 ideals in 9 passes Thu Mar 30 10:18:43 2017 max relations containing the same ideal: 167 Thu Mar 30 10:19:09 2017 removing 2469894 relations and 2069894 ideals in 400000 cliques Thu Mar 30 10:19:10 2017 commencing in-memory singleton removal Thu Mar 30 10:19:14 2017 begin with 33546318 relations and 33498812 unique ideals Thu Mar 30 10:19:53 2017 reduce to 33405679 relations and 31286764 ideals in 9 passes Thu Mar 30 10:19:53 2017 max relations containing the same ideal: 161 Thu Mar 30 10:20:17 2017 removing 2370222 relations and 1970222 ideals in 400000 cliques Thu Mar 30 10:20:18 2017 commencing in-memory singleton removal Thu Mar 30 10:20:22 2017 begin with 31035457 relations and 31286764 unique ideals Thu Mar 30 10:21:02 2017 reduce to 30896248 relations and 29175769 ideals in 10 passes Thu Mar 30 10:21:02 2017 max relations containing the same ideal: 153 Thu Mar 30 10:21:24 2017 removing 2300081 relations and 1900081 ideals in 400000 cliques Thu Mar 30 10:21:26 2017 commencing in-memory singleton removal Thu Mar 30 10:21:29 2017 begin with 28596167 relations and 29175769 unique ideals Thu Mar 30 10:21:58 2017 reduce to 28456706 relations and 27134612 ideals in 8 passes Thu Mar 30 10:21:58 2017 max relations containing the same ideal: 146 Thu Mar 30 10:22:19 2017 removing 2247099 relations and 1847099 ideals in 400000 cliques Thu Mar 30 10:22:20 2017 commencing in-memory singleton removal Thu Mar 30 10:22:23 2017 begin with 26209607 relations and 27134612 unique ideals Thu Mar 30 10:22:52 2017 reduce to 26067034 relations and 25143156 ideals in 9 passes Thu Mar 30 10:22:52 2017 max relations containing the same ideal: 133 Thu Mar 30 10:23:11 2017 removing 2208425 relations and 1808425 ideals in 400000 cliques Thu Mar 30 10:23:13 2017 commencing in-memory singleton removal Thu Mar 30 10:23:15 2017 begin with 23858609 relations and 25143156 unique ideals Thu Mar 30 10:23:42 2017 reduce to 23707100 relations and 23181274 ideals in 9 passes Thu Mar 30 10:23:42 2017 max relations containing the same ideal: 128 Thu Mar 30 10:23:59 2017 removing 1296894 relations and 1087192 ideals in 209702 cliques Thu Mar 30 10:24:00 2017 commencing in-memory singleton removal Thu Mar 30 10:24:02 2017 begin with 22410206 relations and 23181274 unique ideals Thu Mar 30 10:24:24 2017 reduce to 22355688 relations and 22039131 ideals in 8 passes Thu Mar 30 10:24:24 2017 max relations containing the same ideal: 121 Thu Mar 30 10:24:45 2017 relations with 0 large ideals: 9660 Thu Mar 30 10:24:45 2017 relations with 1 large ideals: 2981 Thu Mar 30 10:24:45 2017 relations with 2 large ideals: 19387 Thu Mar 30 10:24:45 2017 relations with 3 large ideals: 183395 Thu Mar 30 10:24:45 2017 relations with 4 large ideals: 943878 Thu Mar 30 10:24:45 2017 relations with 5 large ideals: 2861399 Thu Mar 30 10:24:45 2017 relations with 6 large ideals: 5273508 Thu Mar 30 10:24:45 2017 relations with 7+ large ideals: 13061480 Thu Mar 30 10:24:45 2017 commencing 2-way merge Thu Mar 30 10:25:08 2017 reduce to 12872065 relation sets and 12555508 unique ideals Thu Mar 30 10:25:08 2017 commencing full merge Thu Mar 30 10:29:47 2017 memory use: 1573.6 MB Thu Mar 30 10:29:49 2017 found 6942921 cycles, need 6899708 Thu Mar 30 10:29:50 2017 weight of 6899708 cycles is about 483241207 (70.04/cycle) Thu Mar 30 10:29:50 2017 distribution of cycle lengths: Thu Mar 30 10:29:50 2017 1 relations: 942075 Thu Mar 30 10:29:50 2017 2 relations: 862990 Thu Mar 30 10:29:50 2017 3 relations: 835934 Thu Mar 30 10:29:50 2017 4 relations: 755253 Thu Mar 30 10:29:50 2017 5 relations: 656321 Thu Mar 30 10:29:50 2017 6 relations: 584906 Thu Mar 30 10:29:50 2017 7 relations: 506575 Thu Mar 30 10:29:50 2017 8 relations: 426642 Thu Mar 30 10:29:50 2017 9 relations: 350961 Thu Mar 30 10:29:50 2017 10+ relations: 978051 Thu Mar 30 10:29:50 2017 heaviest cycle: 20 relations Thu Mar 30 10:29:52 2017 commencing cycle optimization Thu Mar 30 10:30:02 2017 start with 36757060 relations Thu Mar 30 10:31:09 2017 pruned 607856 relations Thu Mar 30 10:31:09 2017 memory use: 1289.0 MB Thu Mar 30 10:31:09 2017 distribution of cycle lengths: Thu Mar 30 10:31:09 2017 1 relations: 942075 Thu Mar 30 10:31:09 2017 2 relations: 876970 Thu Mar 30 10:31:09 2017 3 relations: 856990 Thu Mar 30 10:31:09 2017 4 relations: 765924 Thu Mar 30 10:31:09 2017 5 relations: 667071 Thu Mar 30 10:31:09 2017 6 relations: 588994 Thu Mar 30 10:31:09 2017 7 relations: 509204 Thu Mar 30 10:31:09 2017 8 relations: 425968 Thu Mar 30 10:31:09 2017 9 relations: 347987 Thu Mar 30 10:31:09 2017 10+ relations: 918525 Thu Mar 30 10:31:09 2017 heaviest cycle: 20 relations Thu Mar 30 10:31:19 2017 RelProcTime: 5951 Thu Mar 30 10:31:19 2017 Thu Mar 30 10:31:19 2017 commencing linear algebra Thu Mar 30 10:31:21 2017 read 6899708 cycles Thu Mar 30 10:31:35 2017 cycles contain 22076768 unique relations Thu Mar 30 10:36:04 2017 read 22076768 relations Thu Mar 30 10:36:47 2017 using 20 quadratic characters above 4294917295 Thu Mar 30 10:39:08 2017 building initial matrix Thu Mar 30 10:43:48 2017 memory use: 2839.5 MB Thu Mar 30 10:43:57 2017 read 6899708 cycles Thu Mar 30 10:43:58 2017 matrix is 6899531 x 6899708 (2087.5 MB) with weight 613703897 (88.95/col) Thu Mar 30 10:43:58 2017 sparse part has weight 471341640 (68.31/col) Thu Mar 30 10:45:42 2017 filtering completed in 2 passes Thu Mar 30 10:45:44 2017 matrix is 6894832 x 6895009 (2087.3 MB) with weight 613583649 (88.99/col) Thu Mar 30 10:45:44 2017 sparse part has weight 471315721 (68.36/col) Thu Mar 30 10:46:07 2017 matrix starts at (0, 0) Thu Mar 30 10:46:08 2017 matrix is 6894832 x 6895009 (2087.3 MB) with weight 613583649 (88.99/col) Thu Mar 30 10:46:08 2017 sparse part has weight 471315721 (68.36/col) Thu Mar 30 10:46:08 2017 saving the first 48 matrix rows for later Thu Mar 30 10:46:11 2017 matrix includes 64 packed rows Thu Mar 30 10:46:12 2017 matrix is 6894784 x 6895009 (1993.5 MB) with weight 487171431 (70.66/col) Thu Mar 30 10:46:12 2017 sparse part has weight 453623846 (65.79/col) Thu Mar 30 10:46:12 2017 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB Thu Mar 30 10:46:54 2017 commencing Lanczos iteration (16 threads) Thu Mar 30 10:46:54 2017 memory use: 1651.0 MB Thu Mar 30 10:47:13 2017 linear algebra at 0.0%, ETA 22h48m Thu Mar 30 10:47:19 2017 checkpointing every 310000 dimensions Fri Mar 31 09:59:47 2017 lanczos halted after 109030 iterations (dim = 6894784) Fri Mar 31 09:59:56 2017 recovered 35 nontrivial dependencies Fri Mar 31 09:59:59 2017 BLanczosTime: 84520 Fri Mar 31 09:59:59 2017 Fri Mar 31 09:59:59 2017 commencing square root phase Fri Mar 31 09:59:59 2017 reading relations for dependency 1 Fri Mar 31 10:00:01 2017 read 3445684 cycles Fri Mar 31 10:00:07 2017 cycles contain 11031756 unique relations Fri Mar 31 10:02:46 2017 read 11031756 relations Fri Mar 31 10:03:53 2017 multiplying 11031756 relations Fri Mar 31 10:19:17 2017 multiply complete, coefficients have about 322.11 million bits Fri Mar 31 10:19:19 2017 initial square root is modulo 602317 Fri Mar 31 10:36:00 2017 sqrtTime: 2161 Fri Mar 31 10:36:00 2017 p76 factor: 3291659861208257158438545278634621322651960453818188143505937220725796048313 Fri Mar 31 10:36:00 2017 p146 factor: 43881947265178172915797615882198995737239246858549359364955202655453806642417076434398814801843300618942063090580345993552002516787050543577135273 Fri Mar 31 10:36:00 2017 elapsed time 25:43:55```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:40 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 40 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:44:56 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 56 秒 (日本時間)
4511e649501000Dmitry DomanovMarch 21, 2013 20:44:56 UTC 2013 年 3 月 22 日 (金) 5 時 44 分 56 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:15:12 UTC 2013 年 11 月 9 日 (土) 2 時 15 分 12 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:28:15 UTC 2014 年 1 月 6 日 (月) 11 時 28 分 15 秒 (日本時間)
1800Serge BatalovMay 24, 2014 09:17:33 UTC 2014 年 5 月 24 日 (土) 18 時 17 分 33 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:03:40 UTC 2014 年 5 月 25 日 (日) 4 時 3 分 40 秒 (日本時間)

## 13×10223+419

### c217

name 名前 Warut Roonguthai March 16, 2013 17:24:01 UTC 2013 年 3 月 17 日 (日) 2 時 24 分 1 秒 (日本時間) `2531631617298000090866100971634372492163285643430631141799160094210191597191392304498107634577203790678232484132560671574098238173293027421095225512194353437156324922298870290549323749588682890024189350621495114252827<217>` `2355949015956686027723706138476329<34>` `1074569780649507899433294414201576966203203366500279686097571530254688941838788534509513448481822505849686447216183124777530796782031293036276979461842301924953721678000087832266412963<184>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3412955925 Step 1 took 12948ms Step 2 took 7004ms ********** Factor found in step 2: 2355949015956686027723706138476329 Found probable prime factor of 34 digits: 2355949015956686027723706138476329 Composite cofactor 1074569780649507899433294414201576966203203366500279686097571530254688941838788534509513448481822505849686447216183124777530796782031293036276979461842301924953721678000087832266412963 has 184 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:59 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:11 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 11 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:53:51 UTC 2013 年 4 月 17 日 (水) 16 時 53 分 51 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

## 13×10224+419

### c225

name 名前 Dmitry Domanov March 20, 2013 05:02:56 UTC 2013 年 3 月 20 日 (水) 14 時 2 分 56 秒 (日本時間) `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<225>` ```73520866808676412958354778485567215637<38> 1964672761820568364610981351864787821240706963282134202454522332178433396073741536489020649789163165672456157929421359642992217925578767946007169288356379864570619383558225330879193549277<187>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3309321575 Step 1 took 30403ms Step 2 took 11356ms ********** Factor found in step 2: 73520866808676412958354778485567215637 Found probable prime factor of 38 digits: 73520866808676412958354778485567215637```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:20:53 UTC 2013 年 3 月 19 日 (火) 3 時 20 分 53 秒 (日本時間)

## 13×10225+419

### c209

name 名前 Warut Roonguthai March 17, 2013 09:04:37 UTC 2013 年 3 月 17 日 (日) 18 時 4 分 37 秒 (日本時間) `73545420770547472197949040812694972455380792339162808842707325412867714054567592460882824748664519126322341155663415911234624363523656795625231187710779825666501578407148434645871223049530333318124023753736549<209>` `1702802814902795569168778068061023<34>` `43190802908524560791153998368870924278707749868141311887796079718650652709919572723464368930480999208951030950022933476976879277723740382923978612341922185046036931410208312763<176>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=4251136759 Step 1 took 12184ms Step 2 took 7223ms ********** Factor found in step 2: 1702802814902795569168778068061023 Found probable prime factor of 34 digits: 1702802814902795569168778068061023 Composite cofactor 43190802908524560791153998368870924278707749868141311887796079718650652709919572723464368930480999208951030950022933476976879277723740382923978612341922185046036931410208312763 has 176 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:18 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 18 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:18 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 18 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:03 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 3 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:06 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 6 秒 (日本時間)

## 13×10227+419

### c224

name 名前 Warut Roonguthai March 16, 2013 17:55:32 UTC 2013 年 3 月 17 日 (日) 2 時 55 分 32 秒 (日本時間) `18780970542770048686054407026972363079501292997587367630274924514945318481919704127479449284156084312110836620003178318091853392854563053496872246059607911122668631445123448764067669281555642236958060648087952729741833889539<224>` `367308589090259647087472751519812627<36>` `51131313289695369452434714453110178323043189453225089475349786442182848638350992685541577609137541606622152704033920851786267375638192857567832677530700645061116268432689968392566096197457<188>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2435196714 Step 1 took 13573ms Step 2 took 7987ms ********** Factor found in step 2: 367308589090259647087472751519812627 Found probable prime factor of 36 digits: 367308589090259647087472751519812627 Composite cofactor 51131313289695369452434714453110178323043189453225089475349786442182848638350992685541577609137541606622152704033920851786267375638192857567832677530700645061116268432689968392566096197457 has 188 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:30 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 30 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:25 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 25 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:17 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 17 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:07 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 7 秒 (日本時間)

## 13×10228+419

### c155

name 名前 ebina September 29, 2023 20:48:32 UTC 2023 年 9 月 30 日 (土) 5 時 48 分 32 秒 (日本時間) `29063008892671185327117123685445459558005573530203893105655739719110795232395337392745026202869887644224505929156750614601976151178895590117657467906297953<155>` ```7087551728214173449899788317942387000596949169216918141741235028517481743<73> 4100570973891726902833237102675035971878019671600455751963174465437041482422979471<82>``` ```Number: 14449_228 N = 29063008892671185327117123685445459558005573530203893105655739719110795232395337392745026202869887644224505929156750614601976151178895590117657467906297953 (155 digits) Divisors found: r1=7087551728214173449899788317942387000596949169216918141741235028517481743 (pp73) r2=4100570973891726902833237102675035971878019671600455751963174465437041482422979471 (pp82) Version: Msieve v. 1.54 (SVN 1018) Total time: 389.44 hours. Factorization parameters were as follows: n: 29063008892671185327117123685445459558005573530203893105655739719110795232395337392745026202869887644224505929156750614601976151178895590117657467906297953 # norm 4.874842e-015 alpha -8.362523 e 2.484e-012 rroots 3 skew: 50839202.94 c0: -14548142665321507666202707586012308853760 c1: 7133546081158026150856674873756192 c2: 279002515476164919398897294 c3: -8885147541590264009 c4: 245818624856 c5: 132 Y0: -2941388966511938802847694168557 Y1: 15815314955012671 type: gnfs Factor base limits: 27100000/27100000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 60415728 Relations: 5968162 relations Pruned matrix : 4227791 x 4228018 Total sieving time: 379.41 hours. Total relation processing time: 0.36 hours. Matrix solve time: 9.50 hours. time per square root: 0.17 hours. Prototype def-par.txt line would be: gnfs,154,5,65,2000,1e-05,0.28,250,20,50000,3600,27100000,27100000,29,29,58,58,2.6,2.6,100000 total time: 389.44 hours. Intel64 Family 6 Model 60 Stepping 3, GenuineIntel processors: 8, speed: 3.19GHz Windows-post2008Server-6.2.9200 Running Python 3.2```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:38 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 38 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:45:42 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 42 秒 (日本時間)
4511e642101000Dmitry DomanovMarch 21, 2013 20:45:42 UTC 2013 年 3 月 22 日 (金) 5 時 45 分 42 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:11:58 UTC 2013 年 11 月 9 日 (土) 2 時 11 分 58 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:25:54 UTC 2014 年 1 月 6 日 (月) 11 時 25 分 54 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:02:47 UTC 2014 年 5 月 25 日 (日) 4 時 2 分 47 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:07 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 7 秒 (日本時間)
760Ignacio SantosDecember 25, 2015 19:09:54 UTC 2015 年 12 月 26 日 (土) 4 時 9 分 54 秒 (日本時間)

## 13×10229+419

### c225

name 名前 Warut Roonguthai March 16, 2013 18:02:11 UTC 2013 年 3 月 17 日 (日) 3 時 2 分 11 秒 (日本時間) `623384594728084435045722862390248346832007442253007830669563007399095612811032948273464435908870762782980641510700636331813233975419465903260301430427881595289130570300998853931398922983230954401814528697270055001702319470219<225>` `222255729389241312399591128937577<33>` `2804807761046903682322030402446814214513385459913654158594645081868497697020004578330768109256474917094038920652871334894382953296458699939485471639716875384753536867027537850281024156250203347<193>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3336638193 Step 1 took 14118ms Step 2 took 8065ms ********** Factor found in step 2: 222255729389241312399591128937577 Found probable prime factor of 33 digits: 222255729389241312399591128937577 Composite cofactor 2804807761046903682322030402446814214513385459913654158594645081868497697020004578330768109256474917094038920652871334894382953296458699939485471639716875384753536867027537850281024156250203347 has 193 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:21:43 UTC 2013 年 3 月 19 日 (火) 3 時 21 分 43 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:03 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 3 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:36 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 36 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

## 13×10232+419

### c211

name 名前 Dmitry Domanov March 18, 2013 09:17:05 UTC 2013 年 3 月 18 日 (月) 18 時 17 分 5 秒 (日本時間) `8679975270517664457689010505521181177682035786670279148051416134772796912955158490619328166603851934713890103056489952126795650634743588891591808257707063233869329861507018435439021395467045486705245544864057229<211>` `104867419123812538417403992927506929<36>` `82770943950375891104827352245172657132247265537458103988715192402536380889689549608630416735753105905734241446943969423477988150294213654524781198965797726154601455754907300701<176>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2613719965 Step 1 took 26916ms Step 2 took 10646ms ********** Factor found in step 2: 104867419123812538417403992927506929 Found probable prime factor of 36 digits: 104867419123812538417403992927506929```

### c176

name 名前 Dmitry Domanov March 19, 2013 05:04:41 UTC 2013 年 3 月 19 日 (火) 14 時 4 分 41 秒 (日本時間) `82770943950375891104827352245172657132247265537458103988715192402536380889689549608630416735753105905734241446943969423477988150294213654524781198965797726154601455754907300701<176>` ```487762758394822596951941673627995525890387333061423<51> 169695087469913879689783648461864919325565111751812571780004180088243683035393795327312894567125941052173456976432728672110387<126>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=980161206 Step 1 took 22879ms Step 2 took 8920ms ********** Factor found in step 2: 487762758394822596951941673627995525890387333061423 Found probable prime factor of 51 digits: 487762758394822596951941673627995525890387333061423```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:06 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 6 秒 (日本時間)

## 13×10233+419

### c208

composite cofactor 合成数の残り `3392165741020946417599060183367898665966857085737212833968791087878151771657582153883521250545349508346486882911899254865276158523469201975116427494738568937193924942124456444690883674184671441838485469711167<208>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:12 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 12 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:11 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 11 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 17, 2013 07:54:56 UTC 2013 年 4 月 17 日 (水) 16 時 54 分 56 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

## 13×10234+419

### c186

name 名前 Warut Roonguthai March 17, 2013 02:07:12 UTC 2013 年 3 月 17 日 (日) 11 時 7 分 12 秒 (日本時間) `510191257621976948013977242608752693891806401839679979456266760623238756772205992866064891913868936090193254496263615529438178288989107623668783162546366054136304859416100251446163968001<186>` `4638834624513966762093058458846919<34>` `109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679<153>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2604120718 Step 1 took 8611ms Step 2 took 5320ms ********** Factor found in step 2: 4638834624513966762093058458846919 Found probable prime factor of 34 digits: 4638834624513966762093058458846919 Composite cofactor 109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679 has 153 digits``` `GMP-ECM 6.3`

### c153

name 名前 Dmitry Domanov March 19, 2013 05:06:11 UTC 2013 年 3 月 19 日 (火) 14 時 6 分 11 秒 (日本時間) `109982635493377210974914261241930622374906954487273755014815013742015503865757325030457957465001551244511477192326812537031121244446350580966920471890679<153>` ```31922275928944527692959943857242694308161<41> 3445325632113025118141845333127852179038552755470212952787776541533397536439120596586203666497852613511666128439<112>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2803497294 Step 1 took 16464ms Step 2 took 7286ms ********** Factor found in step 2: 31922275928944527692959943857242694308161 Found probable prime factor of 41 digits: 31922275928944527692959943857242694308161```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:18 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 18 秒 (日本時間)

## 13×10235+419

### c223

name 名前 Warut Roonguthai March 17, 2013 04:53:11 UTC 2013 年 3 月 17 日 (日) 13 時 53 分 11 秒 (日本時間) `8834900591884351270957797098327479773328248263745873637167488558519261094136036772795900333432271536239344489474747178784248397928974824879916289733959009189578733547227853719793438473413778653570738095603546808869084308359<223>` ```3097230046173969404160748365363283<34> 2852516752121195401587137900789614596406563734905431118613439008130531556988626708865378962733648386928858276616886771476926368332180077146270013213900750081393259899243392122014134642798973<190>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=218724130 Step 1 took 11544ms ********** Factor found in step 1: 3097230046173969404160748365363283 Found probable prime factor of 34 digits: 3097230046173969404160748365363283 Probable prime cofactor 2852516752121195401587137900789614596406563734905431118613439008130531556988626708865378962733648386928858276616886771476926368332180077146270013213900750081393259899243392122014134642798973 has 190 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10236+419

### c215

composite cofactor 合成数の残り `52577852030308731148737714695004361531186539454593068484161272661204007239234612497092308503902779831491931760817950622878104584795017020261898772949470645671832787235160923936690249969561164533890119984093203546763<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:23 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 23 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:19 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 19 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:48:43 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 43 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:08 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 8 秒 (日本時間)

## 13×10237+419

### c233

composite cofactor 合成数の残り `23858157746468533842796763365615256007208834125240646225731206653856671199716638495688096798051706133565308036345150462389449555595930899434194612827980847405058296490832044075193572245254520662082229893537559163643103983027673627743<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:39 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 39 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:31 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 31 秒 (日本時間)
4511e642501000Dmitry DomanovMarch 21, 2013 20:46:31 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 31 秒 (日本時間)
850Serge BatalovNovember 8, 2013 17:17:08 UTC 2013 年 11 月 9 日 (土) 2 時 17 分 8 秒 (日本時間)
400Serge BatalovJanuary 6, 2014 02:29:45 UTC 2014 年 1 月 6 日 (月) 11 時 29 分 45 秒 (日本時間)
800Serge BatalovFebruary 23, 2014 19:24:23 UTC 2014 年 2 月 24 日 (月) 4 時 24 分 23 秒 (日本時間)
900Serge BatalovMay 24, 2014 19:04:20 UTC 2014 年 5 月 25 日 (日) 4 時 4 分 20 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:09 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 9 秒 (日本時間)

## 13×10240+419

### c183

composite cofactor 合成数の残り `513187008943933210439032276376352487595258622719368444285280672699496155685620946096806765256883868704610452357267102353402090787789984164046498107900764805847800216518144679101857259<183>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:44 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 44 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:43 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 43 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:48:59 UTC 2013 年 4 月 19 日 (金) 0 時 48 分 59 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:09 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 9 秒 (日本時間)

## 13×10242+419

### c214

composite cofactor 合成数の残り `1265170297297223715488303906767163320533256705155957783070799782920982080926386215929258970225945237709413513394258076191794012694020892368068157785086055883658302414296773690666804207952102180372438111384687672663<214>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:22:59 UTC 2013 年 3 月 19 日 (火) 3 時 22 分 59 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:46:52 UTC 2013 年 3 月 22 日 (金) 5 時 46 分 52 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:10 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 10 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

## 13×10244+419

### c212

name 名前 Warut Roonguthai March 16, 2013 15:18:55 UTC 2013 年 3 月 17 日 (日) 0 時 18 分 55 秒 (日本時間) `22102427868398217720755935875202687289949975281655238787724265946151525583997328017815235236556737429657760344725759496959629135721890378624644611523027947885976772363565982939503068450375773489185580103249373293<212>` ```186833647164693802179161901384839<33> 118300039654607472240227716669946501605218333048750739348289045239559415759845092617482089783386116398265039295719679392648079174266019604032737726738467755186774159336587588295787<180>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=301508255 Step 1 took 9906ms Step 2 took 6068ms ********** Factor found in step 2: 186833647164693802179161901384839 Found probable prime factor of 33 digits: 186833647164693802179161901384839 Probable prime cofactor 118300039654607472240227716669946501605218333048750739348289045239559415759845092617482089783386116398265039295719679392648079174266019604032737726738467755186774159336587588295787 has 180 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10246+419

### c205

composite cofactor 合成数の残り `2541293546593521233455192410663187109223399728978600873072543272372200145973618131929427462053384881536931694530321267069017425100765286399823668882268816019411253465005743285313615135883545371893842323833<205>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:23:05 UTC 2013 年 3 月 19 日 (火) 3 時 23 分 5 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:47:00 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 0 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:28 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 28 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

## 13×10247+419

### c241

name 名前 Warut Roonguthai March 16, 2013 15:10:36 UTC 2013 年 3 月 17 日 (日) 0 時 10 分 36 秒 (日本時間) `1720181035557187345750208727428462599711451540230912603278180756649680672870248160329235240195030950092639026453751126668957683162792600643921983121027928316774672202632668267678852945176864448980164870354388124261802502813124520822070282601<241>` `211718585447934178282218330454643<33>` `8124846630340887866407252863438127664401107185579025490132408186530946584827370384613703711572485590299317822190549640417710275485656385891376435264256515508001444157427888534555645704760403160852193696950707<208>` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1173901065 Step 1 took 13167ms Step 2 took 7160ms ********** Factor found in step 2: 211718585447934178282218330454643 Found probable prime factor of 33 digits: 211718585447934178282218330454643 Composite cofactor 8124846630340887866407252863438127664401107185579025490132408186530946584827370384613703711572485590299317822190549640417710275485656385891376435264256515508001444157427888534555645704760403160852193696950707 has 208 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
351e61418118Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)
1300Warut RoonguthaiMarch 18, 2013 18:23:15 UTC 2013 年 3 月 19 日 (火) 3 時 23 分 15 秒 (日本時間)
403e61000Dmitry DomanovMarch 21, 2013 20:47:07 UTC 2013 年 3 月 22 日 (金) 5 時 47 分 7 秒 (日本時間)
4511e6900 / 4194600Dmitry DomanovApril 18, 2013 15:49:39 UTC 2013 年 4 月 19 日 (金) 0 時 49 分 39 秒 (日本時間)
300Serge BatalovMay 27, 2014 00:30:10 UTC 2014 年 5 月 27 日 (火) 9 時 30 分 10 秒 (日本時間)

## 13×10248+419

### c232

name 名前 Warut Roonguthai March 16, 2013 15:09:39 UTC 2013 年 3 月 17 日 (日) 0 時 9 分 39 秒 (日本時間) `4078379242703903370298933076851885302794199252826025123789019590554250679373598087752797649239131861602193116478267398414498530336684144658292187294239438085795710222692438339304271332040293587883975610367975386268907674157592835007<232>` ```399437860900287566842309004431<30> 16774485823764325428060878175572959<35> 4946658050419372187464658526132341099<37> 123048769132810895238851038213566852891489422431556666203583971003244010887607005588356583615520068314796137214687670842947193894317<132>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2215209449 Step 1 took 11123ms ********** Factor found in step 1: 399437860900287566842309004431 Found probable prime factor of 30 digits: 399437860900287566842309004431 Composite cofactor 10210297124843648559093575603610453005228413666512234844099972947846610228374976062518650004396991775802613185803546919063515040621873853388478399985620487626906746995629431143093602344791578265459449297 has 203 digits Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=1811545134 Step 1 took 9812ms Step 2 took 5928ms ********** Factor found in step 2: 16774485823764325428060878175572959 Found probable prime factor of 35 digits: 16774485823764325428060878175572959 Composite cofactor 608680184425013765537029819231393557487754444313690610641103112927659054044342669740379205521037640922618673958350363280026475851582652975026353073154425035682001634383 has 168 digits Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=2651448214 Step 1 took 6381ms Step 2 took 4742ms ********** Factor found in step 2: 4946658050419372187464658526132341099 Found probable prime factor of 37 digits: 4946658050419372187464658526132341099 Probable prime cofactor 123048769132810895238851038213566852891489422431556666203583971003244010887607005588356583615520068314796137214687670842947193894317 has 132 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10249+419

### c236

name 名前 Warut Roonguthai March 16, 2013 20:56:52 UTC 2013 年 3 月 17 日 (日) 5 時 56 分 52 秒 (日本時間) `79517663642405351834529250173524483307496678002428196332197762163771115170613985531823095550196752472285491031798126045879035150144945556637941219627477803860375645814539946077804764085365146888289558650638408963828306094895542967861403<236>` ```52471161017506680749956905259391527<35> 1515454624986757421354568905844193688711242404113164472211630515843803815311878504832063063064554495474929742632877170381192671067830905102561611673816685787520684629388857103263621984104272371982676589<202>``` ```Using B1=1000000, B2=1045563762, polynomial Dickson(6), sigma=3464715775 Step 1 took 12667ms Step 2 took 7176ms ********** Factor found in step 2: 52471161017506680749956905259391527 Found probable prime factor of 35 digits: 52471161017506680749956905259391527 Probable prime cofactor 1515454624986757421354568905844193688711242404113164472211630515843803815311878504832063063064554495474929742632877170381192671067830905102561611673816685787520684629388857103263621984104272371982676589 has 202 digits``` `GMP-ECM 6.3`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e40--
351e6118 / 904Makoto KamadaMarch 16, 2013 13:00:00 UTC 2013 年 3 月 16 日 (土) 22 時 0 分 0 秒 (日本時間)

## 13×10251+419

### c225

name 名前 Dmitry Domanov November 22, 2015 14:24:01 UTC 2015 年 11 月 22 日 (日) 23 時 24 分 1 秒 (日本時間) `863151587787606691135420004950084370595644070924002148441092002332344474905022348744321396556297889827913455971835533324187205723536446925805347851496315664050144144755401030466620804417825392694963317608046740056976760722749<225>` `10480814051886030806983933877849171<35>` `82355395631914858545961750096821484744134141775094517119520116220050446196128806026817364742167952291481230956471429168300298333241812041926880524667114827611204284855592001436376746177193519<191>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3663789449 Step 1 took 34988ms Step 2 took 11435ms ********** Factor found in step 2: 10480814051886030806983933877849171 Found probable prime factor of 35 digits: 10480814051886030806983933877849171```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:31 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 31 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:03 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 3 秒 (日本時間)

## 13×10253+419

### c188

composite cofactor 合成数の残り `14296047733719607975001284776619063131042247734190534287797977110492582777928578151989759112537433071263985994746291084160697508426483661147327939960997863930662797524008931441567497491317<188>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:43 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 43 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:15 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 15 秒 (日本時間)

## 13×10254+419

### c197

composite cofactor 合成数の残り `81375967817584661096619351380922200135039183247734849936373917077798885835338608220858907439149062660563486869960812456428026843508592019031984362089658543846679795506634657121554447439998918948721<197>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:01:55 UTC 2015 年 11 月 22 日 (日) 19 時 1 分 55 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:29 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 29 秒 (日本時間)

## 13×10255+419

### c193

composite cofactor 合成数の残り `5446840695103308302758804027943602715548025472823252711313823277208312132869669967399689413424586215028490916689906408074924462820641742765066374815542587777920529485756040446795525884768865643<193>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:02:08 UTC 2015 年 11 月 22 日 (日) 19 時 2 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 25, 2015 21:59:42 UTC 2015 年 11 月 26 日 (木) 6 時 59 分 42 秒 (日本時間)

## 13×10256+419

### c252

name 名前 Dmitry Domanov November 21, 2015 19:24:14 UTC 2015 年 11 月 22 日 (日) 4 時 24 分 14 秒 (日本時間) `642346442141879505689707139433648083089982854291121289831655820894047424931935982765350844685571416571549981964888355247229263327453392824496128627404475672363785495817336436360761526412791588226283828187150106481275601211564212409145036885509158377927<252>` `3898635542259357153074109406438413419<37>` `164761859676071084981896837430216879721661737203949900334384947635428210121866681093666611288693869774641180749408360958672042274757821731979023460523858420239615984022134877713058748956009689693102502137495675782933<216>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2473837334 Step 1 took 44706ms Step 2 took 16096ms ********** Factor found in step 2: 3898635542259357153074109406438413419 Found probable prime factor of 37 digits: 3898635542259357153074109406438413419```

### c216

name 名前 Lionel Debroux July 21, 2020 06:23:03 UTC 2020 年 7 月 21 日 (火) 15 時 23 分 3 秒 (日本時間) `164761859676071084981896837430216879721661737203949900334384947635428210121866681093666611288693869774641180749408360958672042274757821731979023460523858420239615984022134877713058748956009689693102502137495675782933<216>` ```4015547148563656170927103422469234157606609<43> 41030986209439898825394431272419933916614396830245416248789493878382829506785958884325542352379833946592499494699917326169643770731973515920959889856706290008055800957797637<173>``` ```GMP-ECM 7.0.4 [configured with GMP 6.2.0, --enable-asm-redc] [ECM] Input number is 164761859676071084981896837430216879721661737203949900334384947635428210121866681093666611288693869774641180749408360958672042274757821731979023460523858420239615984022134877713058748956009689693102502137495675782933 (216 digits) Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=1:2902457284 Step 1 took 42667ms Step 2 took 17302ms ********** Factor found in step 2: 4015547148563656170927103422469234157606609 Found prime factor of 43 digits: 4015547148563656170927103422469234157606609 Prime cofactor 41030986209439898825394431272419933916614396830245416248789493878382829506785958884325542352379833946592499494699917326169643770731973515920959889856706290008055800957797637 has 173 digits``` `Core i7-2670QM @ 2.2 GHz, Debian sid amd64`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 21, 2015 09:23:23 UTC 2015 年 11 月 21 日 (土) 18 時 23 分 23 秒 (日本時間)
4511e61000 / 4305Lionel DebrouxJuly 21, 2020 06:22:28 UTC 2020 年 7 月 21 日 (火) 15 時 22 分 28 秒 (日本時間)

## 13×10257+419

### c240

composite cofactor 合成数の残り `101509837973294496434811066515072347211349126605989522835042080827969227154386903870561750331439859263148382502963803391543048869702335736614426732711668248953523033818075787086739051208275340061068813095133198493622120428722233031695873211<240>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 23, 2015 13:37:07 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 7 秒 (日本時間)
1736ebinaJuly 13, 2022 20:00:58 UTC 2022 年 7 月 14 日 (木) 5 時 0 分 58 秒 (日本時間)

## 13×10259+419

### c254

composite cofactor 合成数の残り `41348166510974916611880346039624902155925208164163671310065765849149802180829526916543178777067543502246954787052171526189451573822539394465643331351801968999689252625529057742078406937840665158412777474027785331769736513579851102071765786173363956421577<254>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 21, 2015 09:22:04 UTC 2015 年 11 月 21 日 (土) 18 時 22 分 4 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovFebruary 4, 2016 18:13:57 UTC 2016 年 2 月 5 日 (金) 3 時 13 分 57 秒 (日本時間)

## 13×10260+419

### c261

composite cofactor 合成数の残り `144444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<261>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:26:26 UTC 2015 年 11 月 21 日 (土) 7 時 26 分 26 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 4, 2016 18:10:28 UTC 2016 年 2 月 5 日 (金) 3 時 10 分 28 秒 (日本時間)
5043e66900600Dmitry DomanovFebruary 8, 2016 14:38:12 UTC 2016 年 2 月 8 日 (月) 23 時 38 分 12 秒 (日本時間)
2200Dmitry DomanovDecember 18, 2016 15:29:28 UTC 2016 年 12 月 19 日 (月) 0 時 29 分 28 秒 (日本時間)
2500Dmitry DomanovDecember 29, 2016 12:44:07 UTC 2016 年 12 月 29 日 (木) 21 時 44 分 7 秒 (日本時間)
1600Dmitry DomanovJanuary 10, 2017 15:13:32 UTC 2017 年 1 月 11 日 (水) 0 時 13 分 32 秒 (日本時間)
5511e715252200Dmitry DomanovFebruary 13, 2016 20:55:32 UTC 2016 年 2 月 14 日 (日) 5 時 55 分 32 秒 (日本時間)
15052rerwregreNovember 29, 2017 23:09:19 UTC 2017 年 11 月 30 日 (木) 8 時 9 分 19 秒 (日本時間)
6026e7674567Seth TroisiFebruary 25, 2024 20:38:27 UTC 2024 年 2 月 26 日 (月) 5 時 38 分 27 秒 (日本時間)

## 13×10261+419

### c233

composite cofactor 合成数の残り `13427927031197845202202406211066791424376365273452132831275254812584312525903991277727308352137179034073665322848040085966231958426767506782559247627449981244872369813359448996207638448156732386256980190041108484728138524747392222007<233>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62400600Dmitry DomanovNovember 23, 2015 13:37:31 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 31 秒 (日本時間)
1800ebinaJuly 23, 2022 00:55:27 UTC 2022 年 7 月 23 日 (土) 9 時 55 分 27 秒 (日本時間)

## 13×10262+419

### c263

name 名前 Dmitry Domanov December 16, 2016 06:42:54 UTC 2016 年 12 月 16 日 (金) 15 時 42 分 54 秒 (日本時間) `14444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444449<263>` ```1202931019774811400999099216304705904862747845932441<52> 12007708012341757874824423396338007347126084736237878402330065047560669830572908312352151474031050879998449157709981523283497259504440785415939380595359664108055586477082391944816054645418403906055349142058009289<212>``` ```Using B1=43000000, B2=240490660426, polynomial Dickson(12), sigma=3573630776 Step 1 took 545370ms Step 2 took 125698ms ********** Factor found in step 2: 1202931019774811400999099216304705904862747845932441 Found probable prime factor of 52 digits: 1202931019774811400999099216304705904862747845932441```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 22:25:18 UTC 2015 年 11 月 21 日 (土) 7 時 25 分 18 秒 (日本時間)
4511e6800Dmitry DomanovFebruary 3, 2016 20:54:36 UTC 2016 年 2 月 4 日 (木) 5 時 54 分 36 秒 (日本時間)
5043e62600 / 6864600Dmitry DomanovFebruary 8, 2016 14:30:33 UTC 2016 年 2 月 8 日 (月) 23 時 30 分 33 秒 (日本時間)
2000Dmitry DomanovDecember 14, 2016 14:37:53 UTC 2016 年 12 月 14 日 (水) 23 時 37 分 53 秒 (日本時間)
5511e7200 / 16786Dmitry DomanovFebruary 12, 2016 20:28:55 UTC 2016 年 2 月 13 日 (土) 5 時 28 分 55 秒 (日本時間)

## 13×10263+419

### c227

name 名前 Dmitry Domanov November 23, 2015 13:56:58 UTC 2015 年 11 月 23 日 (月) 22 時 56 分 58 秒 (日本時間) `11589993073439673023513950762379931742901659984980960336368552348499031316652830695310084576576521731641398740611120496521825107702464467064359437234320338294379313377501168438052445284825705819363129659270730413011458449121661<227>` ```5289963361719864886113732533<28> 2190940140967545757724642836881093108561533447730836542175260551300206263511823375975989293927694920349100984057261332379277392505067463693511138951921611490963887139842356594292436669518104098914217<199>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1962993712 Step 1 took 34220ms ********** Factor found in step 1: 5289963361719864886113732533 Found probable prime factor of 28 digits: 5289963361719864886113732533```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 23, 2015 13:37:45 UTC 2015 年 11 月 23 日 (月) 22 時 37 分 45 秒 (日本時間)

## 13×10264+419

### c206

name 名前 Dmitry Domanov November 22, 2015 15:24:15 UTC 2015 年 11 月 23 日 (月) 0 時 24 分 15 秒 (日本時間) `17414152697564192483505953705330907438932707245883036715084779625661220447075887405021114130161643931296256297316447471839182946800256098384681992522964079342936356987754693093696310002448287458237672327811<206>` ```224614374295860588361794651551599<33> 77529110735479396194565399815746985224140179709522448262209721662202346335572309217524909450088175486812585536320635348233601556003582039261573711231483751783927070633964589<173>``` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1549992291 Step 1 took 28794ms ********** Factor found in step 1: 224614374295860588361794651551599 Found probable prime factor of 33 digits: 224614374295860588361794651551599```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600 / 2336Dmitry DomanovNovember 22, 2015 10:02:32 UTC 2015 年 11 月 22 日 (日) 19 時 2 分 32 秒 (日本時間)

## 13×10265+419

### c188

composite cofactor 合成数の残り `29279142422821554210032663081306487572021902968547099746548446644008092266887726488763147813431119194503397530685123510178420385023884587994279683602515657424440090690309495521589311518301<188>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:08 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 8 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 10:56:27 UTC 2015 年 11 月 26 日 (木) 19 時 56 分 27 秒 (日本時間)

## 13×10266+419

### c201

name 名前 Dmitry Domanov November 22, 2015 19:04:46 UTC 2015 年 11 月 23 日 (月) 4 時 4 分 46 秒 (日本時間) `274856147108975639583233398933613213621362703697102518002884823967138917108639917655231412588879810775629303330326554739878573215615503934194128354857048070384914919482391270123149708748561493611798463<201>` `3023953838091507289567260396929483<34>` `90892970536363812776143935291186537769019503185841288278039093498378640185164701565947855979987467060265808449647458318696732726760248979617409393417423199859867700061<167>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3472308409 Step 1 took 20973ms Step 2 took 8176ms ********** Factor found in step 2: 3023953838091507289567260396929483 Found probable prime factor of 34 digits: 3023953838091507289567260396929483```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:24 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 24 秒 (日本時間)
4511e61400600Dmitry DomanovNovember 25, 2015 18:44:57 UTC 2015 年 11 月 26 日 (木) 3 時 44 分 57 秒 (日本時間)
800Dmitry DomanovFebruary 11, 2016 06:20:33 UTC 2016 年 2 月 11 日 (木) 15 時 20 分 33 秒 (日本時間)
5043e62392 / 6927600Dmitry DomanovFebruary 25, 2016 13:27:51 UTC 2016 年 2 月 25 日 (木) 22 時 27 分 51 秒 (日本時間)
1792Dmitry DomanovJune 27, 2024 00:37:53 UTC 2024 年 6 月 27 日 (木) 9 時 37 分 53 秒 (日本時間)
5511e7120 / 16824Dmitry DomanovFebruary 28, 2016 22:07:35 UTC 2016 年 2 月 29 日 (月) 7 時 7 分 35 秒 (日本時間)

## 13×10267+419

### c191

name 名前 Dmitry Domanov November 26, 2015 11:33:58 UTC 2015 年 11 月 26 日 (木) 20 時 33 分 58 秒 (日本時間) `12938082769553150276010664655097953933043519192776823272551092269236107649677595203955526395635920957374166805850217313860702688902892310748800954627734778638970182549948915677070233049177017<191>` ```4277770555152726003762533915374482785853667<43> 3024491987764227270788634338102829512239292648454935828461752837710997691273128014916594256655918026067449482838237179027195413088390470125791920051<148>``` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=3934545698 Step 1 took 81767ms Step 2 took 28382ms ********** Factor found in step 2: 4277770555152726003762533915374482785853667 Found probable prime factor of 43 digits: 4277770555152726003762533915374482785853667```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 22, 2015 10:03:37 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 37 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovNovember 26, 2015 10:56:53 UTC 2015 年 11 月 26 日 (木) 19 時 56 分 53 秒 (日本時間)

## 13×10268+419

### c239

composite cofactor 合成数の残り `24877433039723207066740437246889486586040463949714292234264365824063303618835109076597391362547625461765653278090433314627758980330287876667846498507210856140704381219515039870572024301344127912347341804833121555193335175710322929961451311<239>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62336600Dmitry DomanovNovember 23, 2015 13:38:09 UTC 2015 年 11 月 23 日 (月) 22 時 38 分 9 秒 (日本時間)
1736ebinaJune 4, 2023 06:04:59 UTC 2023 年 6 月 4 日 (日) 15 時 4 分 59 秒 (日本時間)

## 13×10269+419

### c215

composite cofactor 合成数の残り `10108659750461953575665300609943605225404588227021323277136420958397214782885812386857472702108170981088687774821347791900417821877124048760115210182677526828351940547028420756705131867046584060666113875073525207301<215>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 22, 2015 10:03:53 UTC 2015 年 11 月 22 日 (日) 19 時 3 分 53 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:47:56 UTC 2023 年 10 月 9 日 (月) 20 時 47 分 56 秒 (日本時間)

## 13×10271+419

### c219

name 名前 Dmitry Domanov October 10, 2023 21:34:06 UTC 2023 年 10 月 11 日 (水) 6 時 34 分 6 秒 (日本時間) `226153690875594288416821813678593893015658452279214500723110069915001719112769193572131974480293920710129213887144396790928374760422241071713157045462659788216011740545490745944558103687576585283714400535571145086568809<219>` ```16660731921190043361609904624297223578973<41> 13574054966214267879183939596762728575743301596979054599341395910294405786920466735217105567299762387149197529186514479607327289019483046382045499579295067082886417222880415319933<179>``` ```Resuming ECM residue saved by @db9de91afb4c with GMP-ECM 7.0.5-dev on Mon Oct 9 12:33:53 2023 Input number is 226153690875594288416821813678593893015658452279214500723110069915001719112769193572131974480293920710129213887144396790928374760422241071713157045462659788216011740545490745944558103687576585283714400535571145086568809 (219 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3899125498 Step 1 took 0ms Step 2 took 5620ms ********** Factor found in step 2: 16660731921190043361609904624297223578973 Found prime factor of 41 digits: 16660731921190043361609904624297223578973 Prime cofactor 13574054966214267879183939596762728575743301596979054599341395910294405786920466735217105567299762387149197529186514479607327289019483046382045499579295067082886417222880415319933 has 179 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 22, 2015 10:04:11 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 11 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:48:10 UTC 2023 年 10 月 9 日 (月) 20 時 48 分 10 秒 (日本時間)

## 13×10272+419

### c220

name 名前 Dmitry Domanov November 22, 2015 15:24:46 UTC 2015 年 11 月 23 日 (月) 0 時 24 分 46 秒 (日本時間) `6751068717029284681215736481211059467728842789961050327307006772429081253448048527111214213708760267409652356969919423033661249767760388567651270472924246857768120923961776178449339560769655352579343825642769575639635949<220>` `990566958937521288005885940957195973<36>` `6815358271459465758129486999777009243872839983961058812941597757475643906801114670846094765986651764104223095242232110350287979662331829946470835733762642779337976881953964679713167113<184>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2676768102 Step 1 took 35247ms Step 2 took 11812ms ********** Factor found in step 2: 990566958937521288005885940957195973 Found probable prime factor of 36 digits: 990566958937521288005885940957195973```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:04:31 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 31 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:01:59 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 59 秒 (日本時間)
4511e61400600Serge BatalovDecember 4, 2015 16:01:59 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 59 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:03 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 3 秒 (日本時間)
5043e62392 / 6912600Dmitry DomanovFebruary 11, 2016 14:25:37 UTC 2016 年 2 月 11 日 (木) 23 時 25 分 37 秒 (日本時間)
1792Dmitry DomanovApril 16, 2024 20:37:59 UTC 2024 年 4 月 17 日 (水) 5 時 37 分 59 秒 (日本時間)
5511e7120 / 16820Dmitry DomanovFebruary 27, 2016 21:12:42 UTC 2016 年 2 月 28 日 (日) 6 時 12 分 42 秒 (日本時間)

## 13×10273+419

### c249

composite cofactor 合成数の残り `684348906650856527604469303776976242047134523735574890102114628675303513241813604881223538586084565031649192579301029396785459362520117629610327343890943094597535587579569673463203783836953588128235114586036996432206536404147697747437739935207323511<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 16:35:36 UTC 2015 年 11 月 24 日 (火) 1 時 35 分 36 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:48:24 UTC 2023 年 10 月 9 日 (月) 20 時 48 分 24 秒 (日本時間)

## 13×10275+419

### c270

composite cofactor 合成数の残り `508569593249951392483106687338064595380075573441556942776922989653738436398873479230213415361696650756262545531648872599013609713522748122302380614266003022468213422403429480370974133759279928049138776514569149620783126756276628997308102022190064975633648372635982707069<270>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 20:43:56 UTC 2015 年 11 月 21 日 (土) 5 時 43 分 56 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 23, 2016 15:36:25 UTC 2016 年 1 月 24 日 (日) 0 時 36 分 25 秒 (日本時間)

## 13×10276+419

### c227

name 名前 Dmitry Domanov November 23, 2015 15:53:12 UTC 2015 年 11 月 24 日 (火) 0 時 53 分 12 秒 (日本時間) `18826798921711027029411756458735013378257450349646551407342090764878968899892920592441356211918883047938931926653183526070041312679423963622733783626077560634193807385682457225165140228877530506990513837586393262541393628298937<227>` `4006327201802498894809844233489<31>` `4699266428673275733772112582907417677140281037678668912085133223509155686954778537241376033502931831282726867785755674934077642926624749495684174314558110913564577277625202898586173999854447464233<196>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=3598407417 Step 1 took 39309ms ********** Factor found in step 1: 4006327201802498894809844233489 Found probable prime factor of 31 digits: 4006327201802498894809844233489```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e6600Dmitry DomanovNovember 23, 2015 13:57:22 UTC 2015 年 11 月 23 日 (月) 22 時 57 分 22 秒 (日本時間)
4511e6600 / 4346Dmitry DomanovJanuary 23, 2017 06:45:20 UTC 2017 年 1 月 23 日 (月) 15 時 45 分 20 秒 (日本時間)

## 13×10277+419

### c234

composite cofactor 合成数の残り `241012343655812860107231342580021190005341404038354724333566135303386149690626087377097458043373816668948461070270626538529016938490713684672920697796652881728311805257154938263890274026266486857217952474288031569003111861827355622437<234>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 16:36:32 UTC 2015 年 11 月 24 日 (火) 1 時 36 分 32 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:48:40 UTC 2023 年 10 月 9 日 (月) 20 時 48 分 40 秒 (日本時間)

## 13×10278+419

### c223

name 名前 Dmitry Domanov November 22, 2015 14:23:28 UTC 2015 年 11 月 22 日 (日) 23 時 23 分 28 秒 (日本時間) `7990878905744455314319628887132429775798158775880831628717773281083285760748017442132234518933940515926119487255846898277747843812718915171784156869486298006955930918149757860982840665713261797318025604825327334695240053067<223>` `8115891827760610508863680975649105674611<40>` `984596526830416174917523715482535165397109963059265873854723005004231030236482044025010390617603680619968470581839059117975223636542309930360050352086459547800837256482790375176157897<183>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=2954691085 Step 1 took 34041ms Step 2 took 11027ms ********** Factor found in step 2: 8115891827760610508863680975649105674611 Found probable prime factor of 40 digits: 8115891827760610508863680975649105674611```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:04:50 UTC 2015 年 11 月 22 日 (日) 19 時 4 分 50 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:02:12 UTC 2015 年 12 月 5 日 (土) 1 時 2 分 12 秒 (日本時間)
4511e61400600Serge BatalovDecember 4, 2015 16:02:12 UTC 2015 年 12 月 5 日 (土) 1 時 2 分 12 秒 (日本時間)
800Dmitry DomanovFebruary 10, 2016 13:33:20 UTC 2016 年 2 月 10 日 (水) 22 時 33 分 20 秒 (日本時間)
5043e62392 / 6912600Dmitry DomanovFebruary 11, 2016 14:25:58 UTC 2016 年 2 月 11 日 (木) 23 時 25 分 58 秒 (日本時間)
1792Dmitry DomanovApril 21, 2024 16:50:42 UTC 2024 年 4 月 22 日 (月) 1 時 50 分 42 秒 (日本時間)
5511e7120 / 16820Dmitry DomanovFebruary 27, 2016 21:13:05 UTC 2016 年 2 月 28 日 (日) 6 時 13 分 5 秒 (日本時間)

## 13×10279+419

### c255

composite cofactor 合成数の残り `494300632454996013087434424612601170922415582442886786946570562465244005112778968525707513914686213168480601636222645561509842505521902176182614733106782849634659897277459769064327378712520211579403766251457125700570560618438551714499697743767276425115281<255>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 16:36:58 UTC 2015 年 11 月 24 日 (火) 1 時 36 分 58 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:48:53 UTC 2023 年 10 月 9 日 (月) 20 時 48 分 53 秒 (日本時間)

## 13×10280+419

### c277

name 名前 Dmitry Domanov January 23, 2016 19:43:25 UTC 2016 年 1 月 24 日 (日) 4 時 43 分 25 秒 (日本時間) `1924130071192812634134067462960496129538356792919201338010449506386631736305374243298847002057339076121545816497195210396222784660243032428992199872711395290321625741900152450305640661308704468422065331616417269807438982875242366383967556206799579651584447108624543019108091707<277>` `69535283238833884787144304771392089490687<41>` `27671276819049892907172440734708517877107262178593381686910158147849356121424759146138286538343513000513051973746554454579996663855648138631412806366657197431410152935581633050497452906704010265917669984239580429056277563317632557355461<236>` ```Using B1=11000000, B2=35133391030, polynomial Dickson(12), sigma=642541079 Step 1 took 140894ms Step 2 took 33561ms ********** Factor found in step 2: 69535283238833884787144304771392089490687 Found probable prime factor of 41 digits: 69535283238833884787144304771392089490687```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 15:54:03 UTC 2015 年 11 月 21 日 (土) 0 時 54 分 3 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 22, 2016 22:33:18 UTC 2016 年 1 月 23 日 (土) 7 時 33 分 18 秒 (日本時間)

## 13×10281+419

### c242

composite cofactor 合成数の残り `66738922706179609035424021991709096573651794826475372705519156172455247516293189242495489252687154648767422860457108191653775451238896993088265239522104347670882825705565728669703283782984527994047575353412579026913054695168161281584011694101<242>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:31:54 UTC 2015 年 11 月 24 日 (火) 4 時 31 分 54 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:49:01 UTC 2023 年 10 月 9 日 (月) 20 時 49 分 1 秒 (日本時間)

## 13×10282+419

### c269

composite cofactor 合成数の残り `14582616619983298955286565892626908775744678202076741203735024530905366436125498572459949764113527317071850093603485380010182730271268514248157861805648742799482044040803001042121488427242804169906588792502040123775888744373201524130258822905374973381945832749919412163<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:32:28 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 28 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:49:08 UTC 2023 年 10 月 9 日 (月) 20 時 49 分 8 秒 (日本時間)

## 13×10283+419

### c269

composite cofactor 合成数の残り `10408351448198828558429932368336873319455135712097626372047370829202466667430328160685406753203378045873557892905479735123325960676063401946161611905360462818931299639001853031875310231429064955992080982852232977866866504756752632290220837858233901950112526810266092409<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:32:41 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 41 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:49:16 UTC 2023 年 10 月 9 日 (月) 20 時 49 分 16 秒 (日本時間)

## 13×10284+419

### c262

name 名前 Dmitry Domanov October 12, 2023 19:13:28 UTC 2023 年 10 月 13 日 (金) 4 時 13 分 28 秒 (日本時間) `1529997646186338061643019843372312336405397516663904826739428416183669995777405619066405737921546816845115127230418828772644551341866107070418820627373435409254096658383587798998738170014398553697007146152878538414579177481310843152066107036963120232072564695273<262>` ```2157636912842899549911671015482898554741<40> 709108023263476328586040108577489429180581157629042241219708701727372318298501604618614201849302166338543625577986512426373751865460648906035183837826120948456379792614200956558833968775586447343753649979917699401766134053<222>``` ```Resuming ECM residue saved by @db9de91afb4c with GMP-ECM 7.0.5-dev on Mon Oct 9 13:05:06 2023 Input number is 1529997646186338061643019843372312336405397516663904826739428416183669995777405619066405737921546816845115127230418828772644551341866107070418820627373435409254096658383587798998738170014398553697007146152878538414579177481310843152066107036963120232072564695273 (262 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:3839859886 Step 1 took 0ms Step 2 took 7806ms ********** Factor found in step 2: 2157636912842899549911671015482898554741 Found prime factor of 40 digits: 2157636912842899549911671015482898554741 Prime cofactor 709108023263476328586040108577489429180581157629042241219708701727372318298501604618614201849302166338543625577986512426373751865460648906035183837826120948456379792614200956558833968775586447343753649979917699401766134053 has 222 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:32:54 UTC 2015 年 11 月 24 日 (火) 4 時 32 分 54 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:49:25 UTC 2023 年 10 月 9 日 (月) 20 時 49 分 25 秒 (日本時間)

## 13×10285+419

### c257

name 名前 Dmitry Domanov November 23, 2015 20:21:06 UTC 2015 年 11 月 24 日 (火) 5 時 21 分 6 秒 (日本時間) `33702661805382299476506298118088952103543927975920614079396358375054958551987755402245497814280329548385340000016507586143086093542554563070036990562495360776824038717627519633104962194689804806585623181723887275720413761299718215155080269138060689260522629<257>` `628051478779323642288172030990867<33>` `53662260091937927878329130924777887291814062669641850473982447914589088411938880007019620650436179154421331405969194462981852656479863739472095531511874460857118189962239074126272758034080709958107355169011543208237382791687<224>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1024356193 Step 1 took 41591ms Step 2 took 14366ms ********** Factor found in step 2: 628051478779323642288172030990867 Found probable prime factor of 33 digits: 628051478779323642288172030990867```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:33:45 UTC 2015 年 11 月 24 日 (火) 4 時 33 分 45 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:49:33 UTC 2023 年 10 月 9 日 (月) 20 時 49 分 33 秒 (日本時間)

## 13×10287+419

### c283

composite cofactor 合成数の残り `6965541999539202606184329673744728960044579468797050896679579709911966265344285308600301125738749310143436584098203425975041927204727995584917994138228501926240268334110259171743475162484662412327937717338305658699158241039901839438898801390965156215674612742655371772408952328902177<283>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e6904Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
403e6600Dmitry DomanovNovember 20, 2015 13:44:45 UTC 2015 年 11 月 20 日 (金) 22 時 44 分 45 秒 (日本時間)
4511e6800 / 4305Dmitry DomanovJanuary 20, 2016 17:14:12 UTC 2016 年 1 月 21 日 (木) 2 時 14 分 12 秒 (日本時間)

## 13×10288+419

### c216

name 名前 Dmitry Domanov November 22, 2015 15:23:45 UTC 2015 年 11 月 23 日 (月) 0 時 23 分 45 秒 (日本時間) `230620297640418907086540800154270571267526494503656106310377245798721752283744595141426074129443446228038623596165860313632362136110274487529870401555527513773533223258919537599164734565680216062511441359037414575903<216>` `353208822868585515798765460699<30>` `652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997<186>` ```Using B1=3000000, B2=5706890290, polynomial Dickson(6), sigma=1441698090 Step 1 took 35643ms ********** Factor found in step 1: 353208822868585515798765460699 Found probable prime factor of 30 digits: 353208822868585515798765460699```

### c186

name 名前 Serge Batalov December 4, 2015 17:19:26 UTC 2015 年 12 月 5 日 (土) 2 時 19 分 26 秒 (日本時間) `652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997<186>` `5099771173610920035390938688570250706123<40>` `128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439<147>` ```Input number is 652929040015014687501510068813791893708188341994663998338674533694790417166787168452460494600251359457588099435351593028344236834087482014769960589381515759307058115601604135942518441997 (186 digits) Using B1=11000000, B2=11000000-58553269330, polynomial Dickson(12), sigma=766141347 Step 1 took 69612ms Step 2 took 30544ms ********** Factor found in step 2: 5099771173610920035390938688570250706123 Found probable prime factor of 40 digits: 5099771173610920035390938688570250706123 Composite cofactor```

### c147

name 名前 Dylan Delgado October 30, 2018 12:33:59 UTC 2018 年 10 月 30 日 (火) 21 時 33 分 59 秒 (日本時間) `128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439<147>` ```8081731826854533734258496592262707013704384617988058503<55> 15842031039061994267733010027950337634366876730241161931510057139901364436134856013454029313<92>``` ```Number: 14449_288 N = 128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439 (147 digits) Divisors found: Version: Msieve v. 1.53 (SVN 1005) Total time: 95.09 hours. Factorization parameters were as follows: # Murphy_E = 9.59187666e-12, selected by Maksym Voznyy # selected by CADO-NFS n: 128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439 Y0: -14528902173218118983107312906 Y1: 3417500511509593146223 c0: 3712841345160857616427562148780165 c1: -12375763892152840944043106004 c2: -49704658441940320301557 c3: -30435034571428966 c4: 113900952162 c5: 173340 skew: 588825.54947 type: gnfs # selected mechanically rlim: 27000000 alim: 27000000 lpbr: 29 lpba: 29 mfbr: 57 mfba: 57 rlambda: 2.7 alambda: 2.7 Factor base limits: 27000000/27000000 Large primes per side: 3 Large prime bits: 29/29 Sieved algebraic special-q in [0, 0) Total raw relations: 40058463 Relations: 6624138 relations Pruned matrix : 3924508 x 3924738 Polynomial selection time: 0.00 hours. Total sieving time: 88.56 hours. Total relation processing time: 0.22 hours. Matrix solve time: 5.83 hours. time per square root: 0.47 hours. Prototype def-par.txt line would be: gnfs,146,5,65,2000,1e-05,0.28,250,20,50000,3600,27000000,27000000,29,29,57,57,2.7,2.7,100000 total time: 95.09 hours. Intel64 Family 6 Model 94 Stepping 3, GenuineIntel Windows-10-10.0.17134 processors: 4, speed: 2.71GHz __Square root phase + factors__ Tue Oct 30 07:56:16 2018 Msieve v. 1.53 (SVN 1005) Tue Oct 30 07:56:16 2018 random seeds: 59fec940 1d8be757 Tue Oct 30 07:56:16 2018 factoring 128031046450404718202616088870873435041568849891895965649458651584334601841510030484704354276741223058879288349777872375444480292518214183320898439 (147 digits) Tue Oct 30 07:56:16 2018 searching for 15-digit factors Tue Oct 30 07:56:17 2018 commencing number field sieve (147-digit input) Tue Oct 30 07:56:17 2018 R0: -14528902173218118983107312906 Tue Oct 30 07:56:17 2018 R1: 3417500511509593146223 Tue Oct 30 07:56:17 2018 A0: 3712841345160857616427562148780165 Tue Oct 30 07:56:17 2018 A1: -12375763892152840944043106004 Tue Oct 30 07:56:17 2018 A2: -49704658441940320301557 Tue Oct 30 07:56:17 2018 A3: -30435034571428966 Tue Oct 30 07:56:17 2018 A4: 113900952162 Tue Oct 30 07:56:17 2018 A5: 173340 Tue Oct 30 07:56:17 2018 skew 588825.55, size 3.721e-014, alpha -5.465, combined = 9.592e-012 rroots = 3 Tue Oct 30 07:56:17 2018 Tue Oct 30 07:56:17 2018 commencing square root phase Tue Oct 30 07:56:17 2018 reading relations for dependency 1 Tue Oct 30 07:56:17 2018 read 1962664 cycles Tue Oct 30 07:56:20 2018 cycles contain 6619372 unique relations Tue Oct 30 07:57:00 2018 read 6619372 relations Tue Oct 30 07:57:27 2018 multiplying 6619372 relations Tue Oct 30 08:03:25 2018 multiply complete, coefficients have about 336.28 million bits Tue Oct 30 08:03:27 2018 initial square root is modulo 1081501 Tue Oct 30 08:10:19 2018 GCD is 1, no factor found Tue Oct 30 08:10:19 2018 reading relations for dependency 2 Tue Oct 30 08:10:20 2018 read 1962997 cycles Tue Oct 30 08:10:22 2018 cycles contain 6624138 unique relations Tue Oct 30 08:11:03 2018 read 6624138 relations Tue Oct 30 08:11:29 2018 multiplying 6624138 relations Tue Oct 30 08:17:26 2018 multiply complete, coefficients have about 336.52 million bits Tue Oct 30 08:17:28 2018 initial square root is modulo 1092023 Tue Oct 30 08:24:20 2018 sqrtTime: 1683 Tue Oct 30 08:24:20 2018 p55 factor: 8081731826854533734258496592262707013704384617988058503 Tue Oct 30 08:24:20 2018 p92 factor: 15842031039061994267733010027950337634366876730241161931510057139901364436134856013454029313 Tue Oct 30 08:24:20 2018 elapsed time 00:28:04 Tue Oct 30 08:24:20 2018 -> Computing 1.5409e+09 scale for this machine... Tue Oct 30 08:24:20 2018 -> procrels -speedtest> PIPE Tue Oct 30 08:24:22 2018 -> Factorization summary written to g147-14449_288.txt``` `msieve v1.53, ggnfs, factmsieve.py v0.76` `Intel Core i5-6400, Windows 10`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e61000600Dmitry DomanovNovember 22, 2015 10:05:08 UTC 2015 年 11 月 22 日 (日) 19 時 5 分 8 秒 (日本時間)
400Serge BatalovDecember 4, 2015 16:01:41 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 41 秒 (日本時間)
4511e64264600Serge BatalovDecember 4, 2015 16:01:41 UTC 2015 年 12 月 5 日 (土) 1 時 1 分 41 秒 (日本時間)
800Dmitry DomanovMarch 1, 2016 13:19:10 UTC 2016 年 3 月 1 日 (火) 22 時 19 分 10 秒 (日本時間)
2864Ignacio SantosMarch 13, 2016 00:52:06 UTC 2016 年 3 月 13 日 (日) 9 時 52 分 6 秒 (日本時間)

## 13×10289+419

### c247

composite cofactor 合成数の残り `8905387040933281536281877678637032202605679580027796387078047454487091286579311970097436563213114873347604999557526878238931334929254241700287899529296837990820336488397636983761927368775656154256079424785985800574225058991471864895943697132606201<247>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:34:03 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 3 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:02 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 2 秒 (日本時間)

## 13×10290+419

### c259

composite cofactor 合成数の残り `9587112094779789589648758606982929854222280768709815822950293381871992017135943415921662192560719155807637512931459485923771984441290718123186560117925763082263222971062444420047951194055230974748754084870683315557290677579182511307204566785399056834996272821<259>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:34:17 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 17 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:13 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 13 秒 (日本時間)

## 13×10291+419

### c259

name 名前 Dmitry Domanov October 11, 2023 08:16:17 UTC 2023 年 10 月 11 日 (水) 17 時 16 分 17 秒 (日本時間) `8659333264133294553707108844208196300843962367001957449763058793273780014290689476174425159041861565281996153529152828038846017371814772404143082564505010358410277272217247710375972546462555312015595904039582178200788434730979434346602809271544987479578382559<259>` `15601873474008034117450866089786602763<38>` `555018810949808338856709410706973155392821146453273483876621114988963441814434521846852784859034063172775307248538195150912132039717895074370217301785555505853842805711329934751630709687346662630862295121518267553385271293<222>` ```Resuming ECM residue saved by @db9de91afb4c with GMP-ECM 7.0.5-dev on Mon Oct 9 12:10:13 2023 Input number is 8659333264133294553707108844208196300843962367001957449763058793273780014290689476174425159041861565281996153529152828038846017371814772404143082564505010358410277272217247710375972546462555312015595904039582178200788434730979434346602809271544987479578382559 (259 digits) Using B1=3000000-3000000, B2=5706890290, polynomial Dickson(6), sigma=3:2643435947 Step 1 took 0ms Step 2 took 6922ms ********** Factor found in step 2: 15601873474008034117450866089786602763 Found prime factor of 38 digits: 15601873474008034117450866089786602763 Composite cofactor 555018810949808338856709410706973155392821146453273483876621114988963441814434521846852784859034063172775307248538195150912132039717895074370217301785555505853842805711329934751630709687346662630862295121518267553385271293 has 222 digits```

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 23, 2015 19:34:27 UTC 2015 年 11 月 24 日 (火) 4 時 34 分 27 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:22 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 22 秒 (日本時間)

## 13×10294+419

### c237

composite cofactor 合成数の残り `102920825644622802956613409582187100611152669569737201724136351321303798241991327935548285287607445975004205549968921331593702278512034790570282912302835581381939946769927628884615568585049732078099588606111463419010402903849252573821467<237>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 24, 2015 13:30:05 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 5 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:29 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 29 秒 (日本時間)

## 13×10295+419

### c269

composite cofactor 合成数の残り `55066943045446529151197455876721421553393813143603852999940027132172272204676058539544451809467541862831913399695696607280875466806642266081977540709998987464123406041253670736295990987249869188769105183254430166545961436618412294484097687367711802816465645323172376421<269>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 24, 2015 13:30:36 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 36 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:37 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 37 秒 (日本時間)

## 13×10296+419

### c249

composite cofactor 合成数の残り `311914892267819381596978851876328392957326176155126283966407006816302278912251592458436009735404091521368402912776247718055798493653088858919432512169344790436545325685892211971389116857596667579862613933311091632230390643628828782290417158909385439<249>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 24, 2015 13:30:52 UTC 2015 年 11 月 24 日 (火) 22 時 30 分 52 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:45 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 45 秒 (日本時間)

## 13×10298+419

### c286

composite cofactor 合成数の残り `5582532566781034394192804494067447364125817525149408129706328761411915487096603401287859880377483138502218247205163423118799236835110469027487728309158638069939387209619090184427140749395368989020677534181185436303335135962949807415081529254790961465634168684618200509965400685373164871<286>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62392600Dmitry DomanovNovember 24, 2015 13:31:05 UTC 2015 年 11 月 24 日 (火) 22 時 31 分 5 秒 (日本時間)
1792Dmitry DomanovOctober 9, 2023 11:50:53 UTC 2023 年 10 月 9 日 (月) 20 時 50 分 53 秒 (日本時間)

## 13×10299+419

### c286

composite cofactor 合成数の残り `7330582876296526443766134271740855220751608511390607657247171497690840619363713981241782551502256155247493711482237913357968503805870233414038743829603428561471726281428843364818220353822294070151900854387337840697092751530994636582325201923375346764995107823599605705840560886886442079<286>`

### ECM

level レベルB1reported runs 報告された回数name 名前date 日付
3025e4430Makoto KamadaNovember 20, 2015 11:00:00 UTC 2015 年 11 月 20 日 (金) 20 時 0 分 0 秒 (日本時間)
351e60--
403e62350600Dmitry DomanovNovember 24, 2015 13:31:16 UTC 2015 年 11 月 24 日 (火) 22 時 31 分 16 秒 (日本時間)
1750iveliveJune 2, 2020 13:42:00 UTC 2020 年 6 月 2 日 (火) 22 時 42 分 0 秒 (日本時間)